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3 votes
Factor out the greatest common factor (GCF) using the distributive property (do not solve!).

8 + 12
Hint: Rewrite as __(__+__)

2 Answers

4 votes
Answer: 4(2+3)

Explanation:
8 and 12 can be factored by 2 as well as 4. When they are factored by 2, the number can still be lower. The greatest common factor is 4 because the numbers can’t be factored any more.
User LampPost
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7 votes


\begin{array}r8&2\\4&2\\2&2\\1\end{array}\\\\8=2^3\\\\\\\begin{array}l12&2\\6&2\\3&3\\1\end{array}\\\\12=2^2\cdot3

Therefore,
\text{gcf}(8,12)=2^2=4.

And so
8+12=4(2+3).

User Saulius
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8.4k points

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