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Find the GCF of 9w−24

.(1 point)
Responses

3
3

72
72

216
216

9

1 answer

To find the greatest common factor (GCF) of the expression \(9w - 24\), we can factor out the common factor from the two terms.

The terms are \(9w\) and \(-24\).

  1. The coefficient of \(9w\) is 9.
  2. The constant term is -24.

Next, we need to find the GCF of the numerical coefficients 9 and 24.

  • The factors of 9 are: 1, 3, 9
  • The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

The common factors of 9 and 24 are: 1 and 3.

The greatest of these common factors is 3.

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

So the answer is 3.