.. with n, m, E No for all i e {1,...,r}. Let a = p p... p and b p P (The existence of such a factorization is of course guaranteed by the Fundamental Theorem of Arithmetic). m m2 Prove that gcd(a, b) = pi" min(n1,m1). min(n2.m2) • P2 min(n, m-) (Recall that you have to prove Pr ..... the properties in the definition of the ged!)

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