What is the HCF of 2^{36}-1 and 2^{45}-1?

Explanation

The HCF of a^m-1 and a^n-1 is given by a^{\text{HCF}(m,n)}-1. Here, \text{HCF}(36, 45) = 9. Thus, the HCF is 2^9 - 1 = 512 - 1 = 511.

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