How do you write the sum of the number 40+25 as the product of their GCF and another sum?

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Answer 1 · 2018-03-09T03:35:30

See a solution process below:

Find the prime factors for each number as:

$40 = 2 xx 2 xx 2 xx 5$

$25 = 5 xx 5$

Now identify the common factors and determine the GCF:

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

$25 = color(red)(5) xx 5$

Therefore:

$"GCF" = color(red)(5)$

Factoring out the GCF from each number gives:

$40 = 2 xx 2 xx 2 xx cancel(color(red)(5)) = 8$

$25 = cancel(color(red)(5)) xx 5$

We can therefore rewrite this expression as:

$color(red)(5)(8 + 5)$