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What is the greatest prime factor of 4^17 - 2^28?
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Bunuel
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Re: What is the greatest prime factor of 4^17 - 2^28? [#permalink] New post  15 Oct 2019, 04:08
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student26 wrote:
What is the greatest prime factor of \(4^{17} - 2^{28}\)?

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


Check similar questions to practice:
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Abhishek009
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Re: What is the greatest prime factor of 4^17 - 2^28? [#permalink] New post  29 Oct 2020, 07:14
student26 wrote:
What is the greatest prime factor of \(4^{17} - 2^{28}\)?

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

\(4^{17} - 2^{28}\)

\(=2^{34} - 2^{28}\)

\(=2^{28} (2^6 - 1 ) \)

\(=2^{28} 63 \)

\(=2^{28}7*9\), Hence, Answer must be (D)
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