Determine the greatest common factor

24x^3y4-15xy^2- 36x^2y^3

A) 3x^2y^2
B) 4xy^2
C) 3xy^2
D) xy

The greatest common factor of 24x^3y^4, -15xy^2, and 36x^2y^3 is xy.

Therefore, the correct answer is D) xy.