5slortta wrote:What is the greatest prime factor of 2^100 - 2^96?
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Prime Factor
Source: Beat The GMAT — Problem Solving |
5
here is how 2^100 -2^96 = 2^96(2^4 -1) = 2^96 (16-1) = 2 ^96(15) = 2^96 *5 *3 = greatest prime factor is 5
Hope it helps!!
here is how 2^100 -2^96 = 2^96(2^4 -1) = 2^96 (16-1) = 2 ^96(15) = 2^96 *5 *3 = greatest prime factor is 5
Hope it helps!!
