Question

Find the greatest common factor of

Answer 1

D. xy.

Explanation:

The GCF of x and x^2 is x and GCF of y and y^2 is y.

Answer is xy.

Answer 2

For this case, we have by definition the greatest common factor or GFC is given by the greatest factor that divides two numbers. For example:

12 is divisible by 1,2,3,4,6,12

16 is divisible by 1,2,4,8,16

So the GFC of 12 and 16 is 4

Now, if we have:

`x ^ 2y\ and\ xy ^ 2`

The greatest common factor of both expressions is xy.

`xy (x) = x ^ 2y\\xy (y) = xy ^ 2`

Answer:

`xy`

Option D