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

Responses

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

6(2w + 10)

1 answer

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

The GCF of \( 8 \) and \( 16 \) is \( 8 \).

Now we can factor out \( 8 \) from the expression:

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

Therefore, the correct factorization is:

8(w + 2)