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Use properties of operations to factor 8w + 16

using the GCF. (1 point)

1 answer

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

  1. Identify the coefficients:

    • The coefficients are 8 and 16.
    • The GCF of 8 and 16 is 8.

  2. Identify the variables:

    • The variable present is \(w\), which only appears in the first term.

  3. Factor out the GCF:

    • We can factor out 8 from both terms: \[ 8w + 16 = 8(w) + 8(2) = 8(w + 2) \]

Thus, the factored form of \(8w + 16\) is: \[ \boxed{8(w + 2)} \]