Factor 24n−32 using the GCF

Answer 1

To factor 24n - 32 using the greatest common factor (GCF), we first need to find the GCF of the terms 24n and 32.

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

The GCF is the product of the common prime factors raised to the lowest power, which in this case is 2 raised to the power of 3, or 8.

Now we can factor out the GCF of 8 from the expression:

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