Question

What is the greatest common factor of 72x^2y and 18xy?

Answer 1

"18xy" is the one among the following choices given in the question that is the greatest common factor of 72x^2y and 18xy. The correct option among all the options that are given in the question is the fourth option or option "D". I hope that this is the answer that you were looking for and it has come to your help.

Answer 2

For this case we have the following expressions:

$72x ^ 2y\\18xy$

The biggest common factor for each expression is given by:

$72x ^ 2y = 18xy (4x)\\18xy = 18xy (1)$

Therefore, the biggest common factor is the one that is repeated in both terms.

We have then that for this case is:

$18xy$

Answer:

the greatest common factor of 72x ^ 2y and 18xy is:

D. 18xy