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# What is the greatest prime factor of 2^100 - 2^96? a. 2

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Manager
Joined: 02 Aug 2007
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What is the greatest prime factor of 2^100 - 2^96? a. 2  [#permalink]

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20 Oct 2007, 12:04
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What is the greatest prime factor of 2^100 - 2^96?

a. 2
b. 3
c. 5
d. 7
e. 11

Kudos [?]: 51 [0], given: 0

Director
Joined: 11 Jun 2007
Posts: 910

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Re: PS Exponents / Prime factors [#permalink]

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20 Oct 2007, 12:08
yuefei wrote:
What is the greatest prime factor of 2^100 - 2^96?

a. 2
b. 3
c. 5
d. 7
e. 11

i get C) 5

factor out 2^96

so it will be

2^96 (2^4 - 1)
2^96 (16-1)
2^96 (15)
3,5

5 is greatest

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Re: PS Exponents / Prime factors   [#permalink] 20 Oct 2007, 12:08
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