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Re: The greatest common factor of two numbers is 5!. Which of the followin [#permalink]
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GCF is the product of common factors of the numbers involved.

GCF = 5!

a = 8! = 8*7*6*5!

b will certainly have 5! and cannot have any more common factors with a (as this will increase the GCF)

Looking at the answers only 5 (5!) and 8! will have GCF as 5!

Ans C
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Re: The greatest common factor of two numbers is 5!. Which of the followin [#permalink]
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It is given that GCD of two numbers is 5! => this is the maximum common factor in those two numbers.

First number is 8! = 8*7*6*5!
Lets review all the options for second number -

A. 3(5!) - here 3 is also common in addition to 5!. Hence 5! cant be the GCD of these two numbers
B. 4(5!) - Here 4 is common besides 5! and so this option is rejected
C. 5(5!) - only 5! is common in the two numbers and hence the Answer.
D. 6(5!) - 6 is common besides 5! and hence rejected on similar grounds
E. 7(5!) - 7 is common besides 5! and so this is aso rejected

Hence ans is C.
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Re: The greatest common factor of two numbers is 5!. Which of the followin [#permalink]
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Re: The greatest common factor of two numbers is 5!. Which of the followin [#permalink]
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