Buggy python submission (verdict: Runtime Error):
    return pow(2,q-1,q)==1

ans=0

a,b=map(int,input().split())
c=gcd(a,b)
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)

    # divisors.sort()
    return divisors
s=make_divisors(c)
print(s)
for i in s:
    ans=ans+is_prime(i)
print(ans+1)
    

Fixed submission:
from itertools import combinations
from fractions import gcd

#coding:utf8
import random

def is_prime3(q,k=50):
    q = abs(q)
    #計算するまでもなく判定できるものははじく
    if q == 2: return True
    if q < 2 or q&1 == 0: return False

    #n-1=2^s*dとし（但しaは整数、dは奇数)、dを求める
    d = (q-1)>>1
    while d&1 == 0:
        d >>= 1
    
    #判定をk回繰り返す
    for i in range(k):
        a = random.randint(1,q-1)
        t = d
        y = pow(a,t,q)
        #[0,s-1]の範囲すべてをチェック
        while t != q-1 and y != 1 and y != q-1: 
            y = pow(y,2,q)
            t <<= 1
        if y != q-1 and t&1 == 0:
            return False
    return True
ans=0

a,b=map(int,input().split())
c=gcd(a,b)
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)

    # divisors.sort()
    return divisors
s=make_divisors(c)
for i in s:
    ans=ans+is_prime3(i)
print(ans+1)

Buggy python submission (verdict: Time Limit Exceeded):
from itertools import combinations
from fractions import gcd

ans=0
aaa=0

a,b=map(int,input().split())
c=gcd(a,b)
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)

    # divisors.sort()
    return divisors
s=make_divisors(c)
#print(s)
for i in s:
    aaa=0
    if i%2==0:
        aaa=1
    if i>=3 and i%2==1:
        for j in range(2,i):
            #print(i,j)
            if i%j==0:
                aaa=1
                break
            else:
                aab=0
    if aaa==0:
        ans+=1
if c%2==0:
	ans+=1
print(ans)
 


Fixed submission:
from itertools import combinations
from fractions import gcd

#coding:utf8
import random

def is_prime3(q,k=50):
    q = abs(q)
    #計算するまでもなく判定できるものははじく
    if q == 2: return True
    if q < 2 or q&1 == 0: return False

    #n-1=2^s*dとし（但しaは整数、dは奇数)、dを求める
    d = (q-1)>>1
    while d&1 == 0:
        d >>= 1
    
    #判定をk回繰り返す
    for i in range(k):
        a = random.randint(1,q-1)
        t = d
        y = pow(a,t,q)
        #[0,s-1]の範囲すべてをチェック
        while t != q-1 and y != 1 and y != q-1: 
            y = pow(y,2,q)
            t <<= 1
        if y != q-1 and t&1 == 0:
            return False
    return True
ans=0

a,b=map(int,input().split())
c=gcd(a,b)
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)

    # divisors.sort()
    return divisors
s=make_divisors(c)
for i in s:
    ans=ans+is_prime3(i)
print(ans+1)

Buggy python submission (verdict: Time Limit Exceeded):
from itertools import combinations
from fractions import gcd

ans=0
aaa=0

a,b=map(int,input().split())
c=gcd(a,b)
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)

    # divisors.sort()
    return divisors
s=make_divisors(c)
#print(s)
for i in s:
    aaa=0
    if i>=3:
        for j in range(2,i):
            #print(i,j)
            if i%j==0:
                aaa=1
                break
            else:
                aab=0
    if aaa==0:
        ans+=1
print(ans)
    


Fixed submission:
from itertools import combinations
from fractions import gcd

#coding:utf8
import random

def is_prime3(q,k=50):
    q = abs(q)
    #計算するまでもなく判定できるものははじく
    if q == 2: return True
    if q < 2 or q&1 == 0: return False

    #n-1=2^s*dとし（但しaは整数、dは奇数)、dを求める
    d = (q-1)>>1
    while d&1 == 0:
        d >>= 1
    
    #判定をk回繰り返す
    for i in range(k):
        a = random.randint(1,q-1)
        t = d
        y = pow(a,t,q)
        #[0,s-1]の範囲すべてをチェック
        while t != q-1 and y != 1 and y != q-1: 
            y = pow(y,2,q)
            t <<= 1
        if y != q-1 and t&1 == 0:
            return False
    return True
ans=0

a,b=map(int,input().split())
c=gcd(a,b)
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)

    # divisors.sort()
    return divisors
s=make_divisors(c)
for i in s:
    ans=ans+is_prime3(i)
print(ans+1)

Buggy python submission (verdict: Runtime Error):
from itertools import combinations
import math

ans=0
aaa=0

a,b=map(int,input().split())
c=(math.gcd(a,b))
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)

    # divisors.sort()
    return divisors
s=make_divisors(c)
#print(s)
for i in s:
    aaa=0
    if i>=3:
        for j in range(2,i):
            #print(i,j)
            if i%j==0:
                aaa=1
                break
            else:
                aab=0
    if aaa==0:
        ans+=1
print(ans)

Fixed submission:
from itertools import combinations
from fractions import gcd

#coding:utf8
import random

def is_prime3(q,k=50):
    q = abs(q)
    #計算するまでもなく判定できるものははじく
    if q == 2: return True
    if q < 2 or q&1 == 0: return False

    #n-1=2^s*dとし（但しaは整数、dは奇数)、dを求める
    d = (q-1)>>1
    while d&1 == 0:
        d >>= 1
    
    #判定をk回繰り返す
    for i in range(k):
        a = random.randint(1,q-1)
        t = d
        y = pow(a,t,q)
        #[0,s-1]の範囲すべてをチェック
        while t != q-1 and y != 1 and y != q-1: 
            y = pow(y,2,q)
            t <<= 1
        if y != q-1 and t&1 == 0:
            return False
    return True
ans=0

a,b=map(int,input().split())
c=gcd(a,b)
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)

    # divisors.sort()
    return divisors
s=make_divisors(c)
for i in s:
    ans=ans+is_prime3(i)
print(ans+1)