Factor 24n−32

Question

24
𝑛
−
32
using the GCF.(1 point) ....

Answer 1

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

1. Find the GCF:

   • 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 greatest common factor of 24 and 32 is \( 8 \).

2. Factor out the GCF from the expression: \[ 24n - 32 = 8(3n - 4) \]

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