factor 24n-32 using the GCF

Answer 1

To factor out the greatest common factor (GCF) of 24n-32, we need to find the largest number that divides both 24n and 32.

The prime factorization of 24n is 2 * 2 * 2 * 3 * n, which can be written as (2^3) * 3 * n.

The prime factorization of 32 is 2 * 2 * 2 * 2 * 2, which can be written as (2^5).

So, the GCF of 24n and 32 is 2^3, which is 8.

To factor out the GCF, we divide both terms by 8:

(24n-32)/8 = (3n-4)

Therefore, the factorization of 24n-32 using the GCF is 8(3n-4).