For this question you need to look at what is the greates power of the exponents is oresent for each variable and what factor js the greatest for the leading coefficients.
For the leading coefficients, 5 would be the greatest because it is a number that can be multiplied by another to get both leading coefficients. Also. no other number higher than that would work.
For the x variable, x^3 would be the greatest power in common, so it is the one that will be removed.
Finally, for the y variable y^2 would be the greatest power in common, so it would be the one that is removed.
This gives you a final answer for your greatest common factor of:
[tex]5 {x}^{3} {y}^{2} [/tex]
I hope this helps!
