Use properties of operations to factor 8w+16

Question

using GCF.(1 point)
Responses

2(4w+8)
2 times open paren 4 w plus 8 close paren

4(2w+4)
4 times open paren 2 w plus 4 close paren

6(2w+10)
6 times open paren 2 w plus 10 close paren

8(w+2)

Answer 1

To factor the expression \( 8w + 16 \) using the greatest common factor (GCF), we first identify the GCF of the coefficients 8 and 16, which is 8.

We can factor out the GCF:

\[ 8w + 16 = 8(w + 2) \]

So the correct response is:

8(w + 2)