factor 48 + 36z using the gcf

Answer 1

To factor the expression 48 + 36z using the greatest common factor (GCF), we need to find the common factors of 48 and 36z.
First, find the prime factorization of 48:
48 = 2 * 2 * 2 * 2 * 3
Next, find the GCF of 48 and 36z by looking at the common factors:
The common factors of 48 and 36z are 2 and 3.
Now, factor out the GCF from the expression:
48 + 36z = 2 * 2 * 2 * 2 * 3 + 2 * 2 * 3 * z
= 2 * 2 * 3 * (2 + z)
So, the final factored form using the GCF is 2 * 2 * 3 * (2 + z).