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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
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What is the greatest prime factor of 2^100 - 2^96? A. 2 B. 3 [#permalink]  09 Nov 2008, 15:31
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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Joined: 05 Jul 2006
Posts: 1519
Followers: 5

Kudos [?]: 115 [0], given: 39

Re: prime factor---28 [#permalink]  09 Nov 2008, 15:33
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
Re: prime factor---28   [#permalink] 09 Nov 2008, 15:33
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