Two little greedy bears have found two pieces of cheese in the forest of weight *a* and *b* grams, correspondingly. The bears are so greedy that they are ready to fight for the larger piece. That's where the fox comes in and starts the dialog: "Little bears, wait a little, I want to make your pieces equal" "Come off it fox, how are you going to do that?", the curious bears asked. "It's easy", said the fox. "If the mass of a certain piece is divisible by two, then I can eat exactly a half of the piece. If the mass of a certain piece is divisible by three, then I can eat exactly two-thirds, and if the mass is divisible by five, then I can eat four-fifths. I'll eat a little here and there and make the pieces equal". 

The little bears realize that the fox's proposal contains a catch. But at the same time they realize that they can not make the two pieces equal themselves. So they agreed to her proposal, but on one condition: the fox should make the pieces equal as quickly as possible. Find the minimum number of operations the fox needs to make pieces equal.
The first line contains two space-separated integers *a* and *b* (1 ≤ *a*, *b* ≤ 10<sup class="upper-index">9</sup>).
def gcd(a,b):
    if a == 0:
        return b
    return gcd(b % a, a)

def main():
    x,y=map(int,input().split(' '))
    eq = gcd(x,y)
    a,b=int(x/eq),int(y/eq)
    ans=0
    while True:
        if a%2==0:
            a=int(a/2)
            ans+=1
        if a%3==0:
            a = int(a/3)
            ans+=1
        if a%5==0:
            a=int(a/5)
            ans+=1
        if a%2!=0 and a%3!=0 and a%5!=0:
            if a!=1:
                print(-1)
                exit()
            if a==1:
                break
    while True:
        if b%2==0:
            b=int(b/2)
            ans+=1
        if b%3==0:
            b=int(b/3)
            ans+=1
        if b%5==0:
            b=int(b/5)
            ans+=1
        if b%2!=0 and b%3!=0 and b%5!=0:
            if b!=1:
                print(-1)
                exit()
            if b==1:
                break
    print(ans)


main()
