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M is a positive integer, what is the greatest common factor of M and 6

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GMAT 1: 690 Q49 V35
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M is a positive integer, what is the greatest common factor of M and 6 [#permalink]

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New post 20 Sep 2017, 01:13
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M is a positive integer, what is the greatest common factor of M and 64?
 
(1) No two different factors of M sum to a prime number.
 
(2) The greatest common factor of M and 2,310 is 165.
[Reveal] Spoiler: OA

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Last edited by Bunuel on 20 Sep 2017, 01:35, edited 1 time in total.
Renamed the topic and edited the question.

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M is a positive integer, what is the greatest common factor of M and 6 [#permalink]

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bkpolymers1617 wrote:
M is a positive integer, what is the greatest common factor of M and 64?
 
(1) No two different factors of M sum to a prime number.
 
(2) The greatest common factor of M and 2,310 is 165.


Statement 1: every no has 1 as a factor. as per this statement M does not contain 2 because in that case 1+2=3=prime number and its given summations of no two different factors of M are prime. So it can be concluded that M is odd. Hence Greatest common factor of M & 64 will be 1. Sufficient

Statement 2: 2310=2*3*5*7*11 and 165 = 3*5*11. As 165 is GCF of M & 2310, it is evident that M does not contain 2, so M has to be odd.
Hence GCF of M & 64 is 1. Sufficient

Option D

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Kudos [?]: 185 [0], given: 33

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Re: M is a positive integer, what is the greatest common factor of M and 6 [#permalink]

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New post 20 Sep 2017, 06:51
That is perfect my friend. Correct answer and solution:)

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_________________

we shall fight on the beaches,
we shall fight on the landing grounds,
we shall fight in the fields and in the streets,
we shall fight in the hills;
we shall never surrender!

Kudos [?]: 185 [0], given: 33

Re: M is a positive integer, what is the greatest common factor of M and 6   [#permalink] 20 Sep 2017, 06:51
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