Any two Fermat numbers are relatively prime. If gcd(a,b)=d then gcd(a/d,b/d)=1 and gcd(a,a-b)=d

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gcd(a,b)=d iff gcd(a/d, b/d)=1 . gcd(a,b)=d iff gcd(a/d, b/d)=1 .