Write a Python program to find common divisors between two numbers in a given pair.

def ngcd(x, y):
    i=1
    while(i<=x and i<=y):
        if(x%i==0 and y%i == 0):
            gcd=i;
        i+=1
    return gcd;
def num_comm_div(x, y):
  n = ngcd(x, y)
  result = 0
  z = int(n**0.5)
  i = 1
  while( i <= z ):
    if(n % i == 0):
      result += 2 
      if(i == n/i):
        result-=1
    i+=1
  return result

print("Number of common divisors: ",num_comm_div(2, 4))
print("Number of common divisors: ",num_comm_div(2, 8))
print("Number of common divisors: ",num_comm_div(12, 24))