What is the gcf of 56 and 54?

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What is the gcf of 56 and 54?

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Answer 1 · 2016-12-27T23:27:30

First factorize into primes

Explanation:

$54 = 2 \times 3 \times 3 \times 3 = 2 \times 3^{3}$ $54=2xx3xx3xx3=2xx3^3$
$56 = 2 \times 2 \times 2 \times 7 = 2^{3} \times 7$ $56=2xx2xx2xx7=2^3xx7$

For GCF you take all common factors to their lowest power:
$G C F = 2$ $GCF=2$

Check!
$54 \div 2 = 27 = 3^{3}$ $54div2=27=3^3$
$56 \div 2 = 28 = 2^{2} \times 7$ $56div2=28=2^2xx7$
And these have no common factors anymore.

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What is the gcf of 56 and 54?

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