Factor 18 m - 24 and using the GCF

Answer 1

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

1. Find the GCF of 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 are: \( 1, 2, 3, 6 \)
   • The greatest common factor is \( 6 \).

2. Factor out the GCF (6): \[ 18m - 24 = 6(3m - 4) \]

Therefore, the factored form of \( 18m - 24 \) using the GCF is: \[ 6(3m - 4) \]