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# What is the greatest prime factor of (2^29) - (2^26)?

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Intern
Joined: 20 Dec 2016
Posts: 3
What is the greatest prime factor of (2^29) - (2^26)?  [#permalink]

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Updated on: 20 Dec 2016, 06:48
4
00:00

Difficulty:

15% (low)

Question Stats:

74% (00:36) correct 26% (00:50) wrong based on 59 sessions

### HideShow timer Statistics

What is the greatest prime factor of (2^29) - (2^26)?

A. 2
B. 4
C. 7
D. 8
E. 3

Originally posted by anirudhmaru on 20 Dec 2016, 06:40.
Last edited by Bunuel on 20 Dec 2016, 06:48, edited 1 time in total.
Renamed the topic and added the OA.
Math Expert
Joined: 02 Sep 2009
Posts: 51280
Re: What is the greatest prime factor of (2^29) - (2^26)?  [#permalink]

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20 Dec 2016, 06:50
anirudhmaru wrote:
What is the greatest prime factor of (2^29) - (2^26)?

A. 2
B. 4
C. 7
D. 8
E. 3

$$2^{29} - 2^{26}=2^{26}*(2^3-1)=2^{26}*7$$.

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Math Expert
Joined: 02 Sep 2009
Posts: 51280
Re: What is the greatest prime factor of (2^29) - (2^26)?  [#permalink]

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20 Dec 2016, 06:52
Bunuel wrote:
anirudhmaru wrote:
What is the greatest prime factor of (2^29) - (2^26)?

A. 2
B. 4
C. 7
D. 8
E. 3

$$2^{29} - 2^{26}=2^{26}*(2^3-1)=2^{26}*7$$.

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Hope it helps.
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Posts: 9208
Re: What is the greatest prime factor of (2^29) - (2^26)?  [#permalink]

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10 Aug 2018, 09:52
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: What is the greatest prime factor of (2^29) - (2^26)? &nbs [#permalink] 10 Aug 2018, 09:52
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