Buggy python submission (verdict: Time Limit Exceeded):
from math import sqrt, ceil
import fractions
A, B = map(int, input().split())


def is_prime(n):
    if n == 1:
        return False
    for i in range(2, int(n**0.5)+1):
        if n % i == 0:
            return False
    return True


ans = 1
for i in range(2, fractions.gcd(A, B)+1):
    if i > 2 and i % 2 == 0:
        continue
    if A % i == 0 and B % i == 0:
        prime = is_prime(i)
        if prime:
            ans += 1

print(ans)


Fixed submission:
from math import sqrt, ceil
import fractions
A, B = map(int, input().split())


def is_prime(n):
    if n == 1:
        return False
    for i in range(2, int(n**0.5)+1):
        if n % i == 0:
            return False
    return True


def make_divisors(n):
    divisors = []
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            divisors.append(i)
            if i != n // i:
                divisors.append(n//i)

    return divisors


ans = 1

tmp = make_divisors(fractions.gcd(A, B))

for x in tmp:
    if is_prime(x):
        ans += 1

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from math import sqrt, ceil
import fractions
A, B = map(int, input().split())


def is_prime(n):
    if n == 1:
        return False
    for i in range(2, int(n**0.5)+1):
        if n % i == 0:
            return False
    return True


ans = 1
for i in range(2, fractions.gcd(A, B)+1):
    if i > 2 and i % 2 == 0:
        continue
    if A % i == 0 and B % i == 0:
        prime = is_prime(i)
        if prime:
            ans += 1

print(ans)


Fixed submission:
from math import sqrt, ceil
import fractions
A, B = map(int, input().split())


def is_prime(n):
    if n == 1:
        return False
    for i in range(2, int(n**0.5)+1):
        if n % i == 0:
            return False
    return True


def make_divisors(n):
    divisors = []
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            divisors.append(i)
            if i != n // i:
                divisors.append(n//i)

    return divisors


ans = 1

tmp = make_divisors(fractions.gcd(A, B))

for x in tmp:
    if is_prime(x):
        ans += 1

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from math import sqrt, ceil
import fractions
A, B = map(int, input().split())


def is_prime(n):
    if n == 1:
        return False
    for i in range(2, int(n**0.5)+1):
        if n % i == 0:
            return False
    return True


ans = 1
for i in range(2, fractions.gcd(A, B)+1):
    if A % i == 0 and B % i == 0:
        prime = is_prime(i)

        if prime:
            ans += 1

print(ans)


Fixed submission:
from math import sqrt, ceil
import fractions
A, B = map(int, input().split())


def is_prime(n):
    if n == 1:
        return False
    for i in range(2, int(n**0.5)+1):
        if n % i == 0:
            return False
    return True


def make_divisors(n):
    divisors = []
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            divisors.append(i)
            if i != n // i:
                divisors.append(n//i)

    return divisors


ans = 1

tmp = make_divisors(fractions.gcd(A, B))

for x in tmp:
    if is_prime(x):
        ans += 1

print(ans)

Buggy python submission (verdict: Runtime Error):
from math import sqrt, ceil
import fractions
A, B = map(int, input().split())


def era_prime(N):
    temp = [True]*(N+1)
    temp[0] = temp[1] = False
    for i in range(2, ceil(sqrt(N+1))):
        if temp[i]:
            temp[i+i::i] = [False]*(len(temp[i+i::i]))
    primes = [n for n in range(N+1) if temp[n]]
    return primes


prime_list = era_prime(fractions.gcd(A, B))
ans = 1


for i in range(2, fractions.gcd(A, B)+1):
    if A % i == 0 and B % i == 0:
        if i in prime_list:
            ans += 1

print(ans)


Fixed submission:
from math import sqrt, ceil
import fractions
A, B = map(int, input().split())


def is_prime(n):
    if n == 1:
        return False
    for i in range(2, int(n**0.5)+1):
        if n % i == 0:
            return False
    return True


def make_divisors(n):
    divisors = []
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            divisors.append(i)
            if i != n // i:
                divisors.append(n//i)

    return divisors


ans = 1

tmp = make_divisors(fractions.gcd(A, B))

for x in tmp:
    if is_prime(x):
        ans += 1

print(ans)

Buggy python submission (verdict: Runtime Error):
from math import sqrt, ceil
A, B = map(int, input().split())


def era_prime(N):
    temp = [True]*(N+1)
    temp[0] = temp[1] = False
    for i in range(2, ceil(sqrt(N+1))):
        if temp[i]:
            temp[i+i::i] = [False]*(len(temp[i+i::i]))
    primes = [n for n in range(N+1) if temp[n]]
    return primes


prime_list = era_prime(min(A, B))
ans = 1


for i in range(2, min(A, B)+1):
    if A % i == 0 and B % i == 0:
        if i in prime_list:
            ans += 1

print(ans)


Fixed submission:
from math import sqrt, ceil
import fractions
A, B = map(int, input().split())


def is_prime(n):
    if n == 1:
        return False
    for i in range(2, int(n**0.5)+1):
        if n % i == 0:
            return False
    return True


def make_divisors(n):
    divisors = []
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            divisors.append(i)
            if i != n // i:
                divisors.append(n//i)

    return divisors


ans = 1

tmp = make_divisors(fractions.gcd(A, B))

for x in tmp:
    if is_prime(x):
        ans += 1

print(ans)

Buggy python submission (verdict: Runtime Error):
A, B = map(int, input().split())
def primes(n):
    ass = []
    is_prime = [True] * (n + 1)
    is_prime[0] = False
    is_prime[1] = False
    for i in range(2, int(n**0.5) + 1):
        if not is_prime[i]:
            continue
        for j in range(i * 2, n + 1, i):
            is_prime[j] = False
    for i in range(len(is_prime)):
        if is_prime[i]:
            ass.append(i)
    return ass


prime_list = primes(min(A, B))
ans = 1
print(1)

Fixed submission:
from math import sqrt, ceil
import fractions
A, B = map(int, input().split())


def is_prime(n):
    if n == 1:
        return False
    for i in range(2, int(n**0.5)+1):
        if n % i == 0:
            return False
    return True


def make_divisors(n):
    divisors = []
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            divisors.append(i)
            if i != n // i:
                divisors.append(n//i)

    return divisors


ans = 1

tmp = make_divisors(fractions.gcd(A, B))

for x in tmp:
    if is_prime(x):
        ans += 1

print(ans)

Buggy python submission (verdict: Runtime Error):
A, B = map(int, input().split())
def primes(n):
    ret = []
    is_prime = [True] * (n + 1)
    is_prime[0] = False
    is_prime[1] = False
    for i in range(2, int(n**0.5) + 1):
        if not is_prime[i]:
            continue
        for j in range(i * 2, n + 1, i):
            is_prime[j] = False
    for i in range(len(is_prime)):
        if is_prime[i]:
            ass.append(i)
    return ass


prime_list = primes(min(A, B))
ans = 1
print(1)

Fixed submission:
from math import sqrt, ceil
import fractions
A, B = map(int, input().split())


def is_prime(n):
    if n == 1:
        return False
    for i in range(2, int(n**0.5)+1):
        if n % i == 0:
            return False
    return True


def make_divisors(n):
    divisors = []
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            divisors.append(i)
            if i != n // i:
                divisors.append(n//i)

    return divisors


ans = 1

tmp = make_divisors(fractions.gcd(A, B))

for x in tmp:
    if is_prime(x):
        ans += 1

print(ans)

Buggy python submission (verdict: Runtime Error):
A, B = map(int, input().split())
def primes(n):
    ret = []
    is_prime = [True] * (n + 1)
    is_prime[0] = False
    is_prime[1] = False
    for i in range(2, int(n**0.5) + 1):
        if not is_prime[i]:
            continue
        for j in range(i * 2, n + 1, i):
            is_prime[j] = False
    for i in range(len(is_prime)):
        if is_prime[i]:
            ass.append(i)
    return ass


prime_list = primes(min(A, B))
ans = 1

Fixed submission:
from math import sqrt, ceil
import fractions
A, B = map(int, input().split())


def is_prime(n):
    if n == 1:
        return False
    for i in range(2, int(n**0.5)+1):
        if n % i == 0:
            return False
    return True


def make_divisors(n):
    divisors = []
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            divisors.append(i)
            if i != n // i:
                divisors.append(n//i)

    return divisors


ans = 1

tmp = make_divisors(fractions.gcd(A, B))

for x in tmp:
    if is_prime(x):
        ans += 1

print(ans)

Buggy python submission (verdict: Runtime Error):
A, B = map(int, input().split())


def primes(n):
    ass = []
    is_prime = [True] * (n + 1)
    is_prime[0] = False
    is_prime[1] = False
    for i in range(2, int(n**0.5) + 1):
        if not is_prime[i]:
            continue
        for j in range(i * 2, n + 1, i):
            is_prime[j] = False
    for i in range(len(is_prime)):
        if is_prime[i]:
            ass.append(i)
    return ass


prime_list = primes(min(A, B))
ans = 1
for i in range(2, min(A, B)+1):
    if A % i == 0 and B % i == 0:
        if i in prime_list:
            ans += 1

print(ans)


Fixed submission:
from math import sqrt, ceil
import fractions
A, B = map(int, input().split())


def is_prime(n):
    if n == 1:
        return False
    for i in range(2, int(n**0.5)+1):
        if n % i == 0:
            return False
    return True


def make_divisors(n):
    divisors = []
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            divisors.append(i)
            if i != n // i:
                divisors.append(n//i)

    return divisors


ans = 1

tmp = make_divisors(fractions.gcd(A, B))

for x in tmp:
    if is_prime(x):
        ans += 1

print(ans)

Buggy python submission (verdict: Runtime Error):
import fractions
import collections
A, B = map(int, input().split())
tmp_list = collections.defaultdict(int)


def primes(n):
    ass = []
    is_prime = [True] * (n + 1)
    is_prime[0] = False
    is_prime[1] = False
    for i in range(2, int(n**0.5) + 1):
        if not is_prime[i]:
            continue
        for j in range(i * 2, n + 1, i):
            is_prime[j] = False
    for i in range(len(is_prime)):
        if is_prime[i]:
            ass.append(i)
    return ass


def make_divisors(n):
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            tmp_list[i] += 1
            if i != n // i:
                tmp_list[n//i] += 1


prime_list = primes(min(A, B))
ans = 1
for i in range(2, min(A, B)+1):
    if A % i == 0 and B % i == 0:
        if i in prime_list:
            ans += 1

print(ans)


Fixed submission:
from math import sqrt, ceil
import fractions
A, B = map(int, input().split())


def is_prime(n):
    if n == 1:
        return False
    for i in range(2, int(n**0.5)+1):
        if n % i == 0:
            return False
    return True


def make_divisors(n):
    divisors = []
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            divisors.append(i)
            if i != n // i:
                divisors.append(n//i)

    return divisors


ans = 1

tmp = make_divisors(fractions.gcd(A, B))

for x in tmp:
    if is_prime(x):
        ans += 1

print(ans)

Buggy python submission (verdict: Runtime Error):
import fractions
import collections
A, B = map(int, input().split())
tmp_list = collections.defaultdict(int)


def primes(n):
    ass = []
    is_prime = [True] * (n + 1)
    is_prime[0] = False
    is_prime[1] = False
    for i in range(2, int(n**0.5) + 1):
        if not is_prime[i]:
            continue
        for j in range(i * 2, n + 1, i):
            is_prime[j] = False
    for i in range(len(is_prime)):
        if is_prime[i]:
            ass.append(i)
    return ass


def make_divisors(n):
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            tmp_list[i] += 1
            if i != n // i:
                tmp_list[n//i] += 1


make_divisors(A)
make_divisors(B)

tmp = list(tmp_list.items())
divisors = [tmp[i][0] for i in range(len(tmp)) if tmp[i][1] >= 2]

prime_list = primes(min(A, B))

ans = []
for x in divisors:
    if x == 1 or x in prime_list:
        ans.append(x)

print(len(ans))


Fixed submission:
from math import sqrt, ceil
import fractions
A, B = map(int, input().split())


def is_prime(n):
    if n == 1:
        return False
    for i in range(2, int(n**0.5)+1):
        if n % i == 0:
            return False
    return True


def make_divisors(n):
    divisors = []
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            divisors.append(i)
            if i != n // i:
                divisors.append(n//i)

    return divisors


ans = 1

tmp = make_divisors(fractions.gcd(A, B))

for x in tmp:
    if is_prime(x):
        ans += 1

print(ans)

Buggy python submission (verdict: Runtime Error):
import fractions
import collections
A, B = map(int, input().split())
tmp_list = collections.defaultdict(int)


def primes(n):
    ass = []
    is_prime = [True] * (n + 1)
    is_prime[0] = False
    is_prime[1] = False
    for i in range(2, int(n**0.5) + 1):
        if not is_prime[i]:
            continue
        for j in range(i * 2, n + 1, i):
            is_prime[j] = False
    for i in range(len(is_prime)):
        if is_prime[i]:
            ass.append(i)
    return ass


def make_divisors(n):
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            tmp_list[i] += 1
            if i != n // i:
                tmp_list[n//i] += 1


make_divisors(A)
make_divisors(B)

tmp = list(tmp_list.items())
divisors = [tmp[i][0] for i in range(len(tmp)) if tmp[i][1] >= 2]

prime_list = primes(max(A, B))

ans = []
for x in divisors:
    if x in prime_list or x == 1:
        ans.append(x)

print(len(ans))


Fixed submission:
from math import sqrt, ceil
import fractions
A, B = map(int, input().split())


def is_prime(n):
    if n == 1:
        return False
    for i in range(2, int(n**0.5)+1):
        if n % i == 0:
            return False
    return True


def make_divisors(n):
    divisors = []
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            divisors.append(i)
            if i != n // i:
                divisors.append(n//i)

    return divisors


ans = 1

tmp = make_divisors(fractions.gcd(A, B))

for x in tmp:
    if is_prime(x):
        ans += 1

print(ans)