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The greatest common factor of two numbers is 5!. Which of the followin
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26 Jan 2015, 05:57
26 Jan 2015, 05:57
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Expert Reply
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A
B
C
D
E
Difficulty:
45%
(medium)
Question Stats:
68% (01:40) correct
32%
(01:57)
wrong
based on 641
sessions
The greatest common factor of two numbers is 5!. Which of the following can be the second number, if one of the numbers is 8!?
A. 3(5!)
B. 4(5!)
C. 5(5!)
D. 6(5!)
E. 7(5!)
Kudos for a correct solution.
A. 3(5!)
B. 4(5!)
C. 5(5!)
D. 6(5!)
E. 7(5!)
Kudos for a correct solution.
Re: The greatest common factor of two numbers is 5!. Which of the followin
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02 Feb 2015, 04:59
02 Feb 2015, 04:59
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Bunuel wrote:
The greatest common factor of two numbers is 5!. Which of the following can be the second number, if one of the numbers is 8!?
A. 3(5!)
B. 4(5!)
C. 5(5!)
D. 6(5!)
E. 7(5!)
Kudos for a correct solution.
A. 3(5!)
B. 4(5!)
C. 5(5!)
D. 6(5!)
E. 7(5!)
Kudos for a correct solution.
VERITAS PREP OFFICIAL SOLUTION:
Remember that the Greatest Common Factor of two numbers represents the overlap of all prime factors of those two numbers. So what you're looking for in this case is a value that does not share any other prime factors with 8 * 7 * 6 * 5 * 4 * 3 * 2 other than 5 * 4 * 3 * 2.
Consequentially, the answer choice cannot include any prime factors of 8, 7, or 6 outside of the parentheses, where the common 5! already exists. A is incorrect because 3 is a factor of 6. B is incorrect because 4 is a factor of 8. D is incorrect because of the common 6 and E is incorrect because of the common 7. With choice C, however, there's no overlap in factors between 5 and the set 8, 7, 6, so that means that the Greatest Common Factor is, indeed, 5!.
General Discussion
Re: The greatest common factor of two numbers is 5!. Which of the followin
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26 Jan 2015, 07:29
26 Jan 2015, 07:29
Expert Reply
ans is C..
8! can be written as 5!*6*7*8 so other given choices will increase the common factor and 5!*5 will keep GCF as 5!
8! can be written as 5!*6*7*8 so other given choices will increase the common factor and 5!*5 will keep GCF as 5!
