# (a) Given that p is a prime and p I an, prove that pn I an.(b) If gcd(a, b) = p, a

**Chapter 3, Problem 5**

(choose chapter or problem)

(a) Given that p is a prime and p I an, prove that pn I an.(b) If gcd(a, b) = p, a prime, what are the possible values of gcd(a2, b2), gcd(a2, b) andgcd(a3, b2)?

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