Question

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

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

Answer 1

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.

Answer 2

`\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)`.