Factor 18m − 24n

Question

using the GCF. (1 point)
Responses

​​​​​​​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

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

​​​​​​​9(2m − 3n)

Answer 1

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

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

The greatest common factor (GCF) of \( 18 \) and \( 24 \) is \( 6 \).

Now, we can factor \( 6 \) out of the expression:

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

Thus, the correct response is:

\[ 6(3m - 4n) \]

So, the answer is: 6(3m − 4n)