Factor 18m − 24n

Question

18
𝑚

−

24
𝑛
using the GCF. (1 point)
Responses

​​​​​​​6(3m − 4n)
​
​
​
​
​
​
​
6
(
3
𝑚

−

4
𝑛
)
6 Left Parenthesis 3 m minus 4 n Right Parenthesis

​​​​​​​3(6m − 12n)
​
​
​
​
​
​
​
3
(
6
𝑚

−

12
𝑛
)
3 Left Parenthesis 6 m minus 12 n Right Parenthesis

​​​​​​​9(2m − 3n)
​
​
​
​
​
​
​
9
(
2
𝑚

−

3
𝑛
)
9 Left Parenthesis 2 m minus 3 n Right Parenthesis

​​​​​​​2(9m − 12n) ...........................

Answer 1

To factor the expression \(18m - 24n\) using the greatest common factor (GCF), we first need to find 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 GCF of 18 and 24 is 6.

Now we can factor 6 out of the expression:

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

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

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

So the correct response is:

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