What is the greatest common factor of 32 and 36?

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What is the greatest common factor of 32 and 36?

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Answer 1 · 2018-03-07T18:12:12

GCF = 4

Explanation:

Greatest Common Factor is :
4
Calculate Greatest Common Factor for :
32, 36

Factorize of the above numbers :
$32 = 2^{5} = 2^{2} \cdot 2^{3}$ $32 = 2^5=2^2 * 2^3$
$36 = 2^{2} \cdot 3^{2}$ $36 = 2^2 * 3^2$

Hope I helped, Good day!

Answer 2 · 2018-03-07T18:13:23

$G C F (32, 36) = 4$ $GCF(32,36)=color(red)4$

Explanation:

Since
$XXX 32 = 4 \times 8$ $color(white)("XXX")32=color(red)4 xx color(green)8$
and
$XXX 36 = 4 \times 9$ $color(white)("XXX")36=color(red)4xx color(magenta)9$

and since $8$ $color(green)8$ and $9$ $color(magenta)9$ obviously have no common factors (other than $1$ $1$ )

$4$ $color(red)4$ must be the greatest common factor of $32$ $32$ and $36$ $36$

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What is the greatest common factor of 32 and 36?

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