Help Pls, thank you.

The exponent of the prime factorization of the gcd of the 2 numbers will be the biggest power of that prime number that divides into both of the 2 giant numbers. Knowing that here is the prime factorization of the greatest common divisor of the 2 numbers:

$2^23^35^57^711^{11}13^717^519^323^2$

Therefore $\boxed{11}$ is the answer.