Answer:
-50xy and -40x^2
Explanation:

LEts find GCF for the given expression
36x^3 ---> 2*3*2*3*x*x*x
-22x^2 -----> -1* 2 * 11 * x*x
-144x --------> -1* 2*2*3*2*2*3*x
GCf is 2 * x = 2x
2x is not GCf of -11
-50xy ----> -1 * 2*5*5*x*y
2x is GCF of -50xy
-40x^2 ---> -1*2*2*2*5*x*x
2x is GCF of -40x^2
2x is not GCF of 24 because there is no x term
2x is not GCF of 10y because there is no x term