Factor -24n-32 using the GCF

Answer 1

To factor the expression -24n - 32 using the greatest common factor (GCF), we need to find the largest number or variable that divides both terms evenly.

First, let's find the GCF of -24n and -32.

The prime factors of -24n are -1, 2, 2, 2, and 3n.
The prime factors of -32 are -1, 2, 2, 2, and 2.

The GCF is the product of the common prime factors with the lowest exponents:
GCF = -1 * 2 * 2 * 2 = -8.

Now, we can rewrite the expression -24n - 32 as a product of the GCF and the factored expression:

-8(3n + 4).