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:
[tex]x ^ 2y\ and\ xy ^ 2[/tex]
The greatest common factor of both expressions is xy.
[tex]xy (x) = x ^ 2y\\xy (y) = xy ^ 2[/tex]
Answer:
[tex]xy[/tex]
Option D
