What is the GCF of the numbers, 36, 14, 21?

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What is the GCF of the numbers, 36, 14, 21?

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Answer 1 · 2016-09-17T19:33:11

$G C F = 1$ $GCF = 1$

Explanation:

The quickest way to work this out is to know the times tables!

Write each number as the product of its prime factors

$\times \times 36 = 2 \times 2 \times 3 \times 3$ $color(white)(xxxx)36 = 2xx2xx3xx3$
$\times \times 14 = 2 \times \times \times \times x \times 7$ $color(white)(xxxx)14 = 2color(white)(xxxxxxxxx)xx7$
$\times \times 21 = \times x . \times 3 \times . x \times 7$ $color(white)(xxxx)21= color(white)(xxx.xx)3color(white)(xx.x)xx7$

There is no prime factor which is a common factor.

Therefore the $G C F = 1$ $GCF = 1$

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What is the GCF of the numbers, 36, 14, 21?

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