Buggy python submission (verdict: Time Limit Exceeded):
import math

def sosuucheck(val):
    flg = True
    max_search = math.ceil(math.sqrt(val))
    if val <= 3:
        pass
    else:
        for i in range(2, max_search+1):
            if val % i == 0:
                flg = False
                break
    return flg

def yakusuu(a):
    t = []
    for i in range(1,a+1):
        if a%i==0:
            t.append(i)
    return t

def kouyakusuu(a,b):
    t = []
    u = 0
    d = 0
    if a>b:
        u = a
        d = b
    else:
        u = b
        d = a
    for i in range(1,d+1):
        if u%i==0 and d%i==0:
            t.append(i)
    return t

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

#t = list(map(yakusuu,kouyakusuu(a,b)))
t = kouyakusuu(a,b)
sn = 0
for i in t:
    if sosuucheck(i):
        sn += 1


print(sn)

Fixed submission:
import math

A, B = [int(item) for item in input().split()]

def gdc(A, B):
    if B == 0:
        return A
    else:
        return gdc(B, A % B)

def chk_pn(num):
    flag = True
    if num  <= 3:
        pass
    else:
        for i in range(2, int(math.sqrt(num)) + 1):
            if num % i == 0:
                flag = False
                break
    return flag

def mk_factor(num):
    max_divisor = int(math.sqrt(num))+1
    divisor = 2
    factor_list = [1]

    while divisor <= max_divisor:
        if num % divisor == 0:
            factor_list.append(divisor)
            num /= divisor
        else:
            divisor += 1
    if num != 1.0:
        factor_list.append(num)
    return factor_list

GDC = gdc(A, B)
#pn_factor = [i for i in mk_factor(GDC) if chk_pn(i) is True]

print(len(set(mk_factor(GDC))))

Buggy python submission (verdict: Runtime Error):
from sympy import sieve

def yakusuu(a):
    t = []
    for i in range(1,a+1):
        if a%i==0:
            t.append(i)
    return t

def kouyakusuu(a,b):
    t = []
    u = 0
    d = 0
    if a>b:
        u = a
        d = b
    else:
        u = b
        d = a
    for i in range(1,d+1):
        if u%i==0 and d%i==0:
            t.append(i)
    return t

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

#t = list(map(yakusuu,kouyakusuu(a,b)))
t = kouyakusuu(a,b)
sn = 0
for i in t:
    if i in sieve:
        sn += 1

sn += 1

ans = sn*(sn-1)//2
print(ans)

Fixed submission:
import math

A, B = [int(item) for item in input().split()]

def gdc(A, B):
    if B == 0:
        return A
    else:
        return gdc(B, A % B)

def chk_pn(num):
    flag = True
    if num  <= 3:
        pass
    else:
        for i in range(2, int(math.sqrt(num)) + 1):
            if num % i == 0:
                flag = False
                break
    return flag

def mk_factor(num):
    max_divisor = int(math.sqrt(num))+1
    divisor = 2
    factor_list = [1]

    while divisor <= max_divisor:
        if num % divisor == 0:
            factor_list.append(divisor)
            num /= divisor
        else:
            divisor += 1
    if num != 1.0:
        factor_list.append(num)
    return factor_list

GDC = gdc(A, B)
#pn_factor = [i for i in mk_factor(GDC) if chk_pn(i) is True]

print(len(set(mk_factor(GDC))))

Buggy python submission (verdict: Runtime Error):
from sympy import sieve

def yakusuu(a):
    t = []
    for i in range(1,a+1):
        if a%i==0:
            t.append(i)
    return t

def kouyakusuu(a,b):
    t = []
    u = 0
    d = 0
    if a>b:
        u = a
        d = b
    else:
        u = b
        d = a
    for i in range(1,d+1):
        if u%i==0 and d%i==0:
            t.append(i)
    return t

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

#t = list(map(yakusuu,kouyakusuu(a,b)))
t = kouyakusuu(a,b)
sn = 0
for i in t:
    if i in sieve:
        sn += 1

sn += 1

ans = sn*(sn-1)/2
print(ans)

Fixed submission:
import math

A, B = [int(item) for item in input().split()]

def gdc(A, B):
    if B == 0:
        return A
    else:
        return gdc(B, A % B)

def chk_pn(num):
    flag = True
    if num  <= 3:
        pass
    else:
        for i in range(2, int(math.sqrt(num)) + 1):
            if num % i == 0:
                flag = False
                break
    return flag

def mk_factor(num):
    max_divisor = int(math.sqrt(num))+1
    divisor = 2
    factor_list = [1]

    while divisor <= max_divisor:
        if num % divisor == 0:
            factor_list.append(divisor)
            num /= divisor
        else:
            divisor += 1
    if num != 1.0:
        factor_list.append(num)
    return factor_list

GDC = gdc(A, B)
#pn_factor = [i for i in mk_factor(GDC) if chk_pn(i) is True]

print(len(set(mk_factor(GDC))))