Question

Question
Use properties of operations to factor 8w + 16
using the GCF. (1 point)
Responses

6(2w + 10)
6 Left Parenthesis 2 w plus 10 Right Parenthesis

2(4w + 8)
2 Left Parenthesis 4 w plus 8 Right Parenthesis

8(w + 2)
8 Left Parenthesis w plus 2 Right Parenthesis

4(2w + 4)
4 Left Parenthesis 2 w plus 4 Right Parenthesis

Answer 1

To factor \(8w + 16\) using the greatest common factor (GCF), we first identify the GCF of the terms \(8w\) and \(16\):

1. The GCF of the coefficients \(8\) and \(16\) is \(8\).
2. Therefore, we can factor out \(8\) from both terms:

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

So, the correct factored form is:

\[
8(w + 2)
\]

The answer is:

**8(w + 2)**