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

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Mar 9, 2018

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See a solution process below:

Explanation:

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)#

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