Buggy python submission (verdict: Runtime Error):
def gcd(a, b): 
      
    # Everything divides 0  
    if (a == 0 or b == 0): 
            False
      
    # base case 
    if (a == b): 
        return a 
  
    # a is greater 
    if (a > b): 
        return gcd(a-b, b) 
          
    return gcd(a, b-a) 

a=int(input())
b=int(input())
l=[]
count=0
if a>b:
    for i in range(2,a):
        if a%i==0 and b%i==0:
            l.append(i)
for i in range(len(l)):
    for j in range(i,len(l)):
        if gcd(i,j)==1:
            count+=1
print(count)
 

Fixed submission:
def primes(n):
    i = 2
    prime = []
    while i**2<= n:
        if n % i:
            i += 1
        else:
            n =n//i
            prime.append(i)
    if n > 1:
        prime.append(n)
    return prime
a,b=map(int,input().split())
pa=set(primes(a))
pb=set(primes(b))
inte=pa.intersection(pb)
print(len(inte)+1)

Buggy python submission (verdict: Runtime Error):
def primes(n):
    prime = [1]*(n+1)
    p=2
    while p*p <= n+1:
        if(prime[p]==True):
            i=p*p
            while i <= n+1:
                prime[i]=0
                i+=p
        p+=1
    return prime
    
def g(a,b):
    if(b==0):
        return a
    else:
        return g(b,a%b)
        
n,m = map(int,input().split())
if(n<=m):
    a=n
    b=m
else:
    a=m
    b=n
if a==1:
    print(a)
else:
    gcd = g(b,a)
    l =[]
    for i in range(1,gcd):
        if(n%i==0 and m%i==0):
            l.append(i)
    p = primes(gcd)
    count=0
    for i in range(len(l)):
        if(p[l[i]]==1):
            count+=1
    print(count)        


Fixed submission:
def primes(n):
    i = 2
    prime = []
    while i**2<= n:
        if n % i:
            i += 1
        else:
            n =n//i
            prime.append(i)
    if n > 1:
        prime.append(n)
    return prime
a,b=map(int,input().split())
pa=set(primes(a))
pb=set(primes(b))
inte=pa.intersection(pb)
print(len(inte)+1)

Buggy python submission (verdict: Time Limit Exceeded):
def odd():
    n = 1
    while True:
        n = n + 2
        yield n


def divisible(n):
    return lambda x: x % n > 0


def primes():
    yield 2
    it = odd()
    while True:
        n = next(it)
        yield n
        it = filter(divisible(n), it)


count = 1
flag = 0
a, b = input().split(" ", 1)
a, b = int(a), int(b)
a0 = a**0.5
b0 = b**0.5
if a > 1 and b > 1:
    if a % b == 0 or b % a == 0:
        flag = 1
for x in primes():
    flag1 = 0
    flag2 = 0
    while a % x == 0:
        a /= x
        flag1 = 1
    while b % x == 0:
        b /= x
        flag2 = 1
    if flag1 == 1 and flag2 == 1:
        count += 1
    if x > a0 or x > b0:
        break
if count == 1 and flag == 1:
    count += 1
print(count)

Fixed submission:
def primes(n):
    i = 2
    prime = []
    while i**2<= n:
        if n % i:
            i += 1
        else:
            n =n//i
            prime.append(i)
    if n > 1:
        prime.append(n)
    return prime
a,b=map(int,input().split())
pa=set(primes(a))
pb=set(primes(b))
inte=pa.intersection(pb)
print(len(inte)+1)

Buggy python submission (verdict: Runtime Error):
def odd():
    n = 1
    while True:
        n = n + 2
        yield n


def divisible(n):
    return lambda x: x % n > 0


def primes():
    yield 2
    it = odd()
    while True:
        n = next(it)
        yield n
        it = filter(divisible(n), it)


count = 1
a, b = input().split(" ", 1)
a, b = int(a), int(b)
for x in primes():
    flag1 = 0
    flag2 = 0
    if x > a or x > b:
        break
    while a % x == 0:
        a /= x
        flag1 = 1
    while b % x == 0:
        b /= x
        flag2 = 1
    if flag1 == 1 and flag2 == 1:
        count += 1
print(count)

Fixed submission:
def primes(n):
    i = 2
    prime = []
    while i**2<= n:
        if n % i:
            i += 1
        else:
            n =n//i
            prime.append(i)
    if n > 1:
        prime.append(n)
    return prime
a,b=map(int,input().split())
pa=set(primes(a))
pb=set(primes(b))
inte=pa.intersection(pb)
print(len(inte)+1)