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Find the GCF of 9w − 24 .(1 point)

1 answer

To find the greatest common factor (GCF) of the expression \( 9w - 24 \), we need to factor out the common factors of the coefficients of the terms.

  1. The coefficients are 9 and -24.
  2. The factors of 9 are: 1, 3, 9.
  3. The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24.

The largest common factor between 9 and 24 is 3.

Now we can factor the expression \( 9w - 24 \) by taking out the GCF:

\[ 9w - 24 = 3(3w - 8) \]

So, the GCF of \( 9w - 24 \) is \( 3 \).