Buggy python submission (verdict: Time Limit Exceeded):
m, n = map(int, input().split())
while True:
  if m < n:
    m, n = n, m
  if m%n:
    m, n = n, m%n
  else:
    break

def divisors(m):
    divisors = [1]
    for i in range(2, m+1):
        if m % i == 0:
            divisors.append(i)
        while m % i == 0:
            m //= i
        if m == 1:
            break
    return divisors

print(len(divisors(n)))

Fixed submission:
a, b = map(int, input().split())
def gcd(p, q):
    if p < q:
        p, q = q, p
    while q > 0:
        p, q = q, p%q
    return p

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

divisors = make_divisors(gcd(a, b))
ans = []
while divisors:
    key = divisors[0]
    ans.append(key)
    divisors.remove(key)
    notans = []
    for value in divisors:
        if gcd(key, value) != 1:
            notans.append(value)
    for i in notans:
        divisors.remove(i)
            
print(len(ans))

Buggy python submission (verdict: Time Limit Exceeded):
def divisors(m, n):
    divisors = [1]
    if m > n:
        m, n = n, m
    for i in range(2, m+1):
        if m % i == 0 and n % i == 0:
            divisors.append(i)
        while m % i == 0:
            m //= i
        while n % i == 0:
            n //= i
        if m == 1 or n == 1:
            break
    return divisors
m, n = map(int, input().split())
print(len(divisors(m, n)))

Fixed submission:
a, b = map(int, input().split())
def gcd(p, q):
    if p < q:
        p, q = q, p
    while q > 0:
        p, q = q, p%q
    return p

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

divisors = make_divisors(gcd(a, b))
ans = []
while divisors:
    key = divisors[0]
    ans.append(key)
    divisors.remove(key)
    notans = []
    for value in divisors:
        if gcd(key, value) != 1:
            notans.append(value)
    for i in notans:
        divisors.remove(i)
            
print(len(ans))

Buggy python submission (verdict: Runtime Error):
a, b = map(int, input().split())
def gcd(p, q):
    if p < q:
        p, q = q, p
    while q > 0:
        p, q = q, p%q
    return p
  
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

divisors = make_divisors(gcd(a, b))

def prime(n):
    is_prime = [True] * (n + 1)
    is_prime[0] = False
    is_prime[1] = False
    for j in range(4, n+1, 2):
        is_prime[j] = False
    for i in range(3, int(n**0.5) + 1, 2):
        if not is_prime[i]:
            continue
        for j in range(i * 2, n + 1, i):
            is_prime[j] = False
    return [i for i in range(n + 1) if is_prime[i]]

prime = [1] + prime(divisors[-1])
ans = set(divisors) & set(prime)
print(len(ans))

Fixed submission:
a, b = map(int, input().split())
def gcd(p, q):
    if p < q:
        p, q = q, p
    while q > 0:
        p, q = q, p%q
    return p

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

divisors = make_divisors(gcd(a, b))
ans = []
while divisors:
    key = divisors[0]
    ans.append(key)
    divisors.remove(key)
    notans = []
    for value in divisors:
        if gcd(key, value) != 1:
            notans.append(value)
    for i in notans:
        divisors.remove(i)
            
print(len(ans))

Buggy python submission (verdict: Runtime Error):
a, b = map(int, input().split())
def gcd(p, q):
    if p < q:
        p, q = q, p
    while q > 0:
        p, q = q, p%q
    return p
  
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

divisors = make_divisors(gcd(a, b))

def prime(n):
    is_prime = [True] * (n + 1)
    is_prime[0] = False
    is_prime[1] = False
    for j in range(4, n+1, 2):
        is_prime[j] = False
    for i in range(3, int(n**0.5) + 1, 2):
        if not is_prime[i]:
            continue
        for j in range(i * 2, n + 1, i):
            is_prime[j] = False
    return [i for i in range(n + 1) if is_prime[i]]

prime = [1] + prime(divisors[-1])
print(divisors, prime)
ans = set(divisors) & set(prime)
print(ans)
print(len(ans))

Fixed submission:
a, b = map(int, input().split())
def gcd(p, q):
    if p < q:
        p, q = q, p
    while q > 0:
        p, q = q, p%q
    return p

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

divisors = make_divisors(gcd(a, b))
ans = []
while divisors:
    key = divisors[0]
    ans.append(key)
    divisors.remove(key)
    notans = []
    for value in divisors:
        if gcd(key, value) != 1:
            notans.append(value)
    for i in notans:
        divisors.remove(i)
            
print(len(ans))