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Find-gcd-4-2020-1-8-2021-1-Generalization-

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Question Number 180211 by Shrinava last updated on 09/Nov/22
Find: Ω = gcd (4^(2020) −1 , 8^(2021) −1). Generalization.
Find:Ω=gcd(42020−1,82021−1).Generalization.
Answered by puissant last updated on 09/Nov/22
Ω = gcd(2^(4040) −1 ; 2^(6063) −1) = 2^(gcd(4040 ; 6063)) −1 = 2^1 −1 = 1.
Ω=gcd(24040−1;26063−1)=2gcd(4040;6063)−1=21−1=1.

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