Find the GCF (greatest common factor) of the following terms.
{12xy^2, 36, 60xy}
To find the GCF of the given terms, we need to find the largest number and the highest power of each variable that appears in all the terms.
First, look for the largest number that divides 12, 36, and 60 evenly. The largest number that divides all three numbers evenly is 12.
Next, look for the highest power of x that appears in all the terms. The highest power of x that appears is x^1 in 12xy^2 and 60xy.
Finally, look for the highest power of y that appears in all the terms. The highest power of y that appears is y^1 in 12xy^2.
Therefore, the GCF of 12xy^2, 36, and 60xy is 12xy.