mn Let a and b be positive integers. Suppose that the complete list of primes that divide either a or b is (p1. P2.....Pn) and that a = pip2"2... Pn' and b = piki pk2...pn, respectively. (Any of the exponents can be zero.) i. Characterize the gcd of a and b in terms of the factorization of a and b. ii. Find ged(a, b) if a = 2532507112133 and b = 22355172110130.