Factor 24n−32

Question

using the GCF

Answer 1

To factor the expression \( 24n - 32 \) using the greatest common factor (GCF), we first need to determine the GCF of the coefficients 24 and 32.

1. Find the GCF of 24 and 32:

   • The factors of 24 are: \( 1, 2, 3, 4, 6, 8, 12, 24 \)
   • The factors of 32 are: \( 1, 2, 4, 8, 16, 32 \)
   • The common factors are: \( 1, 2, 4, 8 \)
   • The greatest common factor is \( 8 \).

2. Factor out the GCF:

   • We can factor \( 8 \) out of each term in the expression: \[ 24n - 32 = 8(3n - 4) \]

So, the factored form of \( 24n - 32 \) is: \[ 8(3n - 4) \]