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Using properties of operations to factors 8w + 16 using the GCF

4 ( 2w + 4 )

2 ( 4w + 10 )

6 ( 2w + 10 )

8 ( w + 2 )

1 answer

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

  1. Identify the GCF:

    • For \(8w\) and \(16\), the GCF is \(8\).

  2. Factor out the GCF:

    • \(8w + 16 = 8(w + 2)\).

So, the correct factored form of \(8w + 16\) is:

\[ 8(w + 2) \]

Looking at the options provided:

  • \(4(2w + 4)\)
  • \(2(4w + 10)\)
  • \(6(2w + 10)\)
  • \(8(w + 2)\)

The correct option is:

\[ 8(w + 2) \]