Question

Find the greatest common factor of the following monomials: 48ab^5, 3a^3b^3

A. 3a^3b^3
B. 12ab^5
C. 48ab^5
D. 24a^3b^3.

Answer 1

The greatest common factor of the monomials 48ab^5 and 3a^3b^3 is 3ab^3, which is answer choice A. 3a^3b^3.

Step-by-step explanation:

To find the greatest common factor (GCF) of the monomials 48ab5 and 3a3b3, we need to find the highest powers of common factors that divide both terms.

1. First, factor both numerical coefficients: 48 factors into 24×3, and 3 factors into 3.
2. Next, identify the lowest power of 'a' common to both monomials: a1.
3. Then, identify the lowest power of 'b' common to both monomials, which is b3.
4. Multiply these together to find the GCF: 3a1b3 or simply 3ab3.

So, the correct answer is A. 3a3b3.