Question 22808
Yes, that's what GCF means...Greatest Common Factor.

Factor out the GCF:
{{{15x^2y^3 - 20xy^2 + 5xy}}}
Look at the three terms to find a common element. First, all of the coefficients (the integers in front of the variables) are divisible by 5, so 5 is a factor of these integers.
Now look at the variables for a common factor. They all have at least one x and one y, so xy would be a factor. So you can factor out the 5 and the xy to get:
{{{5xy(3xy^2 - 4y + 1)}}}

To check the answer, just multiply the {{{5xy}}} by the {{{(3xy^2 - 4y + 1)}}} and you should get back what you started with. Try it!