Respuesta :

Answer:

GCF = 6

The original sum rewrites to 6(2+3)

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Explanation:

Notice we have these factorizations

12 = 6*2

18 = 6*3

Which shows that 6 is the greatest common factor (GCF)

So,

12+18 = 6*2+6*3 = 6*(2+3)

We use the distributive property which is a(b+c) = ab + ac

I'll leave the 2+3 part un-simplified so that you can see the two original pieces, and how the 6 can multiply with them both to get back to 12+18 again.

The answer to your question is 6