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# What is the highest common factor of positive integers u and

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Manager
Joined: 27 Feb 2004
Posts: 187
Location: illinois
Followers: 1

Kudos [?]: 10 [0], given: 0

What is the highest common factor of positive integers u and [#permalink]  06 Apr 2004, 17:59
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(N/A)

Question Stats:

100% (01:33) correct 0% (00:00) wrong based on 1 sessions
What is the highest common factor of positive integers u and v?

A)u and v are consecutive integers.
B)v is a prime number.
Senior Manager
Joined: 23 Sep 2003
Posts: 294
Location: US
Followers: 1

Kudos [?]: 2 [0], given: 0

Yeah, A it is.

1 is the common factor between any two positive integers.
Intern
Joined: 06 Apr 2004
Posts: 28
Location: Texas
Followers: 0

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

Yes, A.

I almost chose D until I realized my mistaken reasoning. I'm not good with number theory questions.
CEO
Joined: 15 Aug 2003
Posts: 3469
Followers: 61

Kudos [?]: 701 [0], given: 781

any other members want to explain?
SVP
Joined: 30 Oct 2003
Posts: 1797
Location: NewJersey USA
Followers: 5

Kudos [?]: 41 [0], given: 0

A)u and v are consecutive integers.
GCD of any two consecutive integers is always 1
(Sufficient)

B)v is a prime number.
if v = 7 and u = 14 then GCD = 7
if v = 11 and u = 22 then GCD = 11
(Insufficient)
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