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# What is the greatest integer that will divide evenly into both 36 and

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Senior RC Moderator
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What is the greatest integer that will divide evenly into both 36 and  [#permalink]

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16 Jan 2019, 07:54
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Difficulty:

15% (low)

Question Stats:

78% (00:46) correct 22% (00:48) wrong based on 39 sessions

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What is the greatest integer that will divide evenly into both 36 and 54?

A. 6

B. 9

C. 12

D. 18

E. 27

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Re: What is the greatest integer that will divide evenly into both 36 and  [#permalink]

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16 Jan 2019, 08:07
Prime factorization:
36=$$2^2*3^2$$
$$54=2*3^3$$

GCD is common powers $$2*3^2=18$$

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Re: What is the greatest integer that will divide evenly into both 36 and  [#permalink]

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21 Jan 2019, 18:48
What is the greatest integer that will divide evenly into both 36 and 54?

A. 6

B. 9

C. 12

D. 18

E. 27

The largest number that divides both 36 and 54 is 18 since 36/18 = 2 and 54/18 = 3 and the quotients 2 and 3 do not have a common factor other than 1.

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Re: What is the greatest integer that will divide evenly into both 36 and   [#permalink] 21 Jan 2019, 18:48
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