```
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))
```

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