How do you find the GCF of 40 and 100?

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Answer 1 · 2017-02-11T15:33:45

See the entire solution process below:

To find the GCF (Greatest Common Factor) we need to factor each number separately and then find the all the common factors:

$40 = 2 xx 2 xx 2 xx 5$

$100 = 2 xx 2 xx 5 xx 5$

The common factors are:

$40 = color(red)(2 xx 2) xx 2 xx color(red)(5)$

$100 = color(red)(2 xx 2) xx color(red)(5) xx 5$

Or

$color(red)(2 xx 2 xx 5) = 20$

The GCF is $20$