Factor 24e + 32f using the GCF

Answer 1

To factor 24e + 32f using the greatest common factor (GCF), we first need to find the GCF of 24e and 32f.

The prime factorization of 24e is 2^3 * 3 * e.
The prime factorization of 32f is 2^5 * f.

The common factors between 24e and 32f are 2^3, which represents the highest power of 2 that appears in both terms.

Therefore, the GCF of 24e and 32f is 2^3 = 8.

Now, we can factor out this GCF from both terms:

24e + 32f = 8(3e) + 8(4f)

Factoring out the GCF, we get:

24e + 32f = 8(3e + 4f)