HELPPP PLZZZ PHOTO ATTACHED!!!!!

Answer:
6x^2*y^2
Step-by-step explanation:
to find greatest factor:
find the biggest thing they have in common
example:
xy+xe+xz all have x in common so you can facor out x like x(y+e+z)
6x^2 y^3 +18x^3 y^3 + 36x^3 y^2
-they are all divible by 6
=6 (x^2 y^3 +3x^3 y^3 + 6x^3 y^2)
-all have at least x^2
=6x^2 (y^3 +3x y^3 + 6x y^2)
-all have at least y^2
=6x^2 y^2 (y +3xy +6x)
greatest common factor is 6x^2*y^2