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Use properties of operations to factor 16w + 24 using the greatest common factor (GCF).

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4 w plus 6

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To factor the expression \( 16w + 24 \) using the greatest common factor (GCF), follow these steps:

  1. Identify the GCF of the coefficients (16 and 24):

    • The factors of 16 are \( 1, 2, 4, 8, 16 \).
    • The factors of 24 are \( 1, 2, 3, 4, 6, 8, 12, 24 \).
    • The greatest common factor is \( 8 \).

  2. Factor out the GCF from the expression:

    • Rewrite the expression by factoring out \( 8 \): \[ 16w + 24 = 8(2w + 3). \]

Thus, the factored form of \( 16w + 24 \) is \( 8(2w + 3) \).

If you are looking for the expression in a format that includes the individual terms, you can also express it as:

\[ 8 \cdot 2w + 8 \cdot 3 = 8(2w + 3). \]

So the complete factorization of \( 16w + 24 \) is \( 8(2w + 3) \).