First, write out the prime factorization the both 12 and 80: 12 = 2 x 2 x 3 and also 80 = 2 x 2 x 2 x 2 x 5. Now collect only the element numbers that each of them share in their factorizations, i beg your pardon are only two 2"s. Thus, the greatest common factor between 12 and also 80 is 2 x 2 = 4.

Now we element out (or divide out) 4 from every term that the sum, now we have: 12 + 80 = 4*3 + 4*20.

You are watching: Apply the distributive property to factor out the greatest common factor.

Since the 4 is shared among the 2 terms, we element it out and write what is left over within the parenthesis: 4(3 + 20).

So 12 +80 = 4(3 + 20) = 92

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