College

What is the greatest common factor of [tex]48x^2[/tex] and [tex]32x^3[/tex]?

A. [tex]16x^2[/tex]
B. [tex]96x^3[/tex]
C. [tex]8x^2[/tex]
D. [tex]16x[/tex]

Answer :

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

We have

[tex]\begin{gathered} 48x^2 \\ \text{and} \\ 32x^3 \end{gathered}[/tex]

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:

[tex]16x^2[/tex]

Correct Answer: A