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"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.
carlosego

For this case we have the following expressions:

[tex] 72x ^ 2y

18xy
[/tex]

The biggest common factor for each expression is given by:

[tex] 72x ^ 2y = 18xy (4x)

18xy = 18xy (1)
[/tex]

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

We have then that for this case is:

[tex] 18xy
[/tex]

Answer:

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

D. 18xy

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