Question

What is the greatest common factor of 48x^2?and 32x^3?A. 16x^2B. 96x^3C. 8x^2D. 16x

Answer 1

greatest common factor (GCF) of 2 algebraic terms is the largest monomial that evenly divides the two expressions.

We have

`\begin{gathered} 48x^2 \\ \text{and} \\ 32x^3 \end{gathered}`

There are two parts, the numbers and variables.

From the numbers, the largest number we can divide 48 and 32 by is:

16

From the variables, the largest factor is x^2

Putting them together, we can say the GCF is:

`16x^2`

Correct Answer: A