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The Greatest Common Factor (GCF) of 48 and 72 is

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The Greatest Common Factor (GCF) of 48 and 72 is  [#permalink]

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New post 23 Oct 2018, 21:31
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A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

90% (00:47) correct 10% (00:37) wrong based on 51 sessions

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Re: The Greatest Common Factor (GCF) of 48 and 72 is  [#permalink]

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New post 23 Oct 2018, 21:37
Bunuel wrote:
The Greatest Common Factor (GCF) of 48 and 72 is

A. 4
B. 6
C. 12
D. 24
E. 48


48 = 24*2
72 = 24*3

there is no GCD of 2 and 3 except 1 therefore GCF of 48 and 72 = 24

Answer: Option D
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Re: The Greatest Common Factor (GCF) of 48 and 72 is  [#permalink]

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New post 23 Oct 2018, 21:50
48 = \(3\) * \(2^4\)
72 = \(3^2\) * \(2^3\)

From both the numbers \(3\) * \(2^3\) is common for both.

So GCD is \(3\) * \(2^3\) = \(24\)
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Re: The Greatest Common Factor (GCF) of 48 and 72 is  [#permalink]

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New post 23 Oct 2018, 23:56
Bunuel wrote:
The Greatest Common Factor (GCF) of 48 and 72 is

A. 4
B. 6
C. 12
D. 24
E. 48


24*2 = 48
24*3 = 72

Hence, Answer must be (D) 24
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Re: The Greatest Common Factor (GCF) of 48 and 72 is   [#permalink] 23 Oct 2018, 23:56
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