Buggy python submission (verdict: Time Limit Exceeded):
# -*- coding: utf-8 -*-
import fractions
import sys
input = sys.stdin.readline


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 set(divisors)


def sieve(n):
    is_prime = [True for _ in range(n+1)]
    is_prime[0] = False

    for i in range(2, n+1):
        if is_prime[i-1]:
            j = 2 * i
            while j <= n:
                is_prime[j-1] = False
                j += i
    table = [i for i in range(1, n+1) if is_prime[i-1]]
    return is_prime, table


def main():
    a, b = map(int, input().split())

    divisors = []
    max_divisor = fractions.gcd(a, b)

    divisors = make_divisors(max_divisor)
    _, table = sieve(max(divisors))
    result = divisors & set(table)

    size = len(result) + 1
    print(size)


if __name__ == '__main__':
    main()


Fixed submission:
# -*- coding: utf-8 -*-
import math
import fractions


def prime_factorization(n):
    i = 2
    table = []
    while i * i <= n:
        while n % i == 0:
            n = n // i
            table.append(i)
        i += 1
    if n > 1:
        table.append(n)
    return list(set(table))


def main():
    a, b = map(int, input().split())

    gcd = fractions.gcd(a, b)
    table = prime_factorization(gcd)
    print(len(table) + 1)


if __name__ == "__main__":
    main()

Buggy python submission (verdict: Runtime Error):
# -*- coding: utf-8 -*-
import math
import sys
input = sys.stdin.readline


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 set(divisors)


def sieve(n):
    is_prime = [True for _ in range(n+1)]
    is_prime[0] = False

    for i in range(2, n+1):
        if is_prime[i-1]:
            j = 2 * i
            while j <= n:
                is_prime[j-1] = False
                j += i
    table = [i for i in range(1, n+1) if is_prime[i-1]]
    return is_prime, table


def main():
    a, b = map(int, input().split())

    divisors = []
    max_divisor = math.gcd(a, b)

    divisors = make_divisors(max_divisor)
    _, table = sieve(max(divisors))
    result = divisors & set(table)

    size = len(result) + 1
    print(size)


if __name__ == '__main__':
    main()


Fixed submission:
# -*- coding: utf-8 -*-
import math
import fractions


def prime_factorization(n):
    i = 2
    table = []
    while i * i <= n:
        while n % i == 0:
            n = n // i
            table.append(i)
        i += 1
    if n > 1:
        table.append(n)
    return list(set(table))


def main():
    a, b = map(int, input().split())

    gcd = fractions.gcd(a, b)
    table = prime_factorization(gcd)
    print(len(table) + 1)


if __name__ == "__main__":
    main()

Buggy python submission (verdict: Runtime Error):
# -*- coding: utf-8 -*-
import math
import itertools
import numpy as np
import sys
input = sys.stdin.readline


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 set(divisors)


def sieve(n):
    is_prime = [True for _ in range(n+1)]
    is_prime[0] = False

    for i in range(2, n+1):
        if is_prime[i-1]:
            j = 2 * i
            while j <= n:
                is_prime[j-1] = False
                j += i
    table = [i for i in range(1, n+1) if is_prime[i-1]]
    return is_prime, table


def main():
    a, b = map(int, input().split())

    divisors = []
    max_divisor = math.gcd(a, b)

    divisors = make_divisors(max_divisor)

    _, table = sieve(max(divisors))

    result = divisors & set(table)

    # print(divisors)
    # print(result)

    size = len(result) + 1
    print(size)


if __name__ == '__main__':
    main()


Fixed submission:
# -*- coding: utf-8 -*-
import math
import fractions


def prime_factorization(n):
    i = 2
    table = []
    while i * i <= n:
        while n % i == 0:
            n = n // i
            table.append(i)
        i += 1
    if n > 1:
        table.append(n)
    return list(set(table))


def main():
    a, b = map(int, input().split())

    gcd = fractions.gcd(a, b)
    table = prime_factorization(gcd)
    print(len(table) + 1)


if __name__ == "__main__":
    main()

Buggy python submission (verdict: Runtime Error):
# -*- coding: utf-8 -*-
import math
import itertools
import numpy as np
import sys
input = sys.stdin.readline


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 set(divisors)


def sieve(n):
    is_prime = [True for _ in range(n+1)]
    is_prime[0] = False

    for i in range(2, n+1):
        if is_prime[i-1]:
            j = 2 * i
            while j <= n:
                is_prime[j-1] = False
                j += i
    table = [i for i in range(1, n+1) if is_prime[i-1]]
    return is_prime, table


def main():
    a, b = map(int, input().split())

    divisors = []
    max_divisor = math.gcd(a, b)

    divisors = make_divisors(max_divisor)

    _, table = sieve(max(divisors))

    result = divisors & set(table)

    print(divisors)
    print(result)

    size = len(result) + 1
    print(size)


if __name__ == '__main__':
    main()


Fixed submission:
# -*- coding: utf-8 -*-
import math
import fractions


def prime_factorization(n):
    i = 2
    table = []
    while i * i <= n:
        while n % i == 0:
            n = n // i
            table.append(i)
        i += 1
    if n > 1:
        table.append(n)
    return list(set(table))


def main():
    a, b = map(int, input().split())

    gcd = fractions.gcd(a, b)
    table = prime_factorization(gcd)
    print(len(table) + 1)


if __name__ == "__main__":
    main()

Buggy python submission (verdict: Time Limit Exceeded):
# -*- coding: utf-8 -*-
import itertools
import numpy as np
import sys
input = sys.stdin.readline


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 set(divisors)


def sieve(n):
    is_prime = [True for _ in range(n+1)]
    is_prime[0] = False

    for i in range(2, n+1):
        if is_prime[i-1]:
            j = 2 * i
            while j <= n:
                is_prime[j-1] = False
                j += i
    table = [i for i in range(1, n+1) if is_prime[i-1]]
    return is_prime, table


def main():
    a, b = map(int, input().split())
    a_divisors = make_divisors(a)
    b_divisors = make_divisors(b)
    divisors = a_divisors & b_divisors

    _, table = sieve(max(divisors))

    result = divisors & set(table)

    # print(divisors)
    # print(result)

    size = len(result) + 1
    print(size)


if __name__ == '__main__':
    main()


Fixed submission:
# -*- coding: utf-8 -*-
import math
import fractions


def prime_factorization(n):
    i = 2
    table = []
    while i * i <= n:
        while n % i == 0:
            n = n // i
            table.append(i)
        i += 1
    if n > 1:
        table.append(n)
    return list(set(table))


def main():
    a, b = map(int, input().split())

    gcd = fractions.gcd(a, b)
    table = prime_factorization(gcd)
    print(len(table) + 1)


if __name__ == "__main__":
    main()