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# What is the greatest common factor of positive integers x and y

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Intern
Joined: 08 Jul 2017
Posts: 38
GMAT 1: 620 Q48 V29
What is the greatest common factor of positive integers x and y  [#permalink]

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18 Apr 2018, 03:34
00:00

Difficulty:

45% (medium)

Question Stats:

70% (00:18) correct 30% (00:26) wrong based on 10 sessions

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93. What is the greatest common factor of positive integers x and y?
(1) x and y share only one common factor.
(2) x and y are unique prime numbers.

Any body explain me why stmt 1 is true?
Intern
Joined: 11 Mar 2015
Posts: 32
Re: What is the greatest common factor of positive integers x and y  [#permalink]

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18 Apr 2018, 04:05
Statement (1) I think only one common factor means they are prime numbers. Hence, the only common factor is 1.

SUFFICIENT.

Statement (2) It says that X and Y are unique prime numbers. Hence, without 1 and the numbers (X, Y) them-self there
have not got any other number. Therefore, the maximum common factor is 1.

SUFFICIENT .
Math Expert
Joined: 02 Sep 2009
Posts: 58434
Re: What is the greatest common factor of positive integers x and y  [#permalink]

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18 Apr 2018, 12:09
robu1 wrote:
93. What is the greatest common factor of positive integers x and y?
(1) x and y share only one common factor.
(2) x and y are unique prime numbers.

Any body explain me why stmt 1 is true?

Discussed here: https://gmatclub.com/forum/what-is-the- ... 65273.html

Hope it helps.
_________________
Re: What is the greatest common factor of positive integers x and y   [#permalink] 18 Apr 2018, 12:09
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