HELPPP PLZZZ PHOTO ATTACHED

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