Factor 18m − 24n using the GCF. (1 point)

Question

Responses

​​​​​​​2(9m − 12n)
2 Left Parenthesis 9 m minus 12 n Right Parenthesis

​​​​​​​6(3m − 4n)
6 Left Parenthesis 3 m minus 4 n Right Parenthesis

​​​​​​​3(6m − 12n)
3 Left Parenthesis 6 m minus 12 n Right Parenthesis

​​​​​​​9(2m − 3n)

Answer 1

To factor \( 18m - 24n \) using the greatest common factor (GCF), we first need to determine the GCF of the coefficients 18 and 24.

1. The factors of 18 are: \( 1, 2, 3, 6, 9, 18 \)
2. The factors of 24 are: \( 1, 2, 3, 4, 6, 8, 12, 24 \)

The largest common factor is 6.

Now, we can factor 6 out of \( 18m \) and \( -24n \):

\[ 18m - 24n = 6(3m) - 6(4n) = 6(3m - 4n) \]

Thus, the factored form of \( 18m - 24n \) using the GCF is:

\[ \boxed{6(3m - 4n)} \]