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# What is the greatest prime factor of 2^100 - 2^96? A. 2 B. 3

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Joined: 06 Nov 2008
Posts: 53
What is the greatest prime factor of 2^100 - 2^96? A. 2 B. 3  [#permalink]

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09 Nov 2008, 16:31
What is the greatest prime factor of 2^100 - 2^96?

A. 2
B. 3
C. 5
D. 7
E. 11

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09 Nov 2008, 16:33
haichao wrote:
What is the greatest prime factor of 2^100 - 2^96?

A. 2
B. 3
C. 5
D. 7
E. 11

2^96(2^4 -1) = 2^96 * 15 THUS 5 IS THE GREATEST.........C

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Re: prime factor---28 &nbs [#permalink] 09 Nov 2008, 16:33
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# What is the greatest prime factor of 2^100 - 2^96? A. 2 B. 3

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