To factor the expression \( 18M - 24N \) using the greatest common factor (GCF), we first need to determine 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 common factors of 18 and 24 are:
- 1, 2, 3, 6
The greatest common factor is 6.
Now we can factor 6 out of the expression:
\[ 18M - 24N = 6(3M - 4N) \]
So, the factored form of \( 18M - 24N \) is:
\[ 6(3M - 4N) \]