Verified Answer :

GCF is the greatest common factor, which is a number which is common to all these numbers, and which can be used to divide all of them.
Having this in mind, it is 2xy^2. 

Answer:

\(\text{The GCF is }2xy^2\)

Step-by-step explanation:

Given the expression

\(6x^2y^2-8xy^2+10xy^3\)

we have to identify the GCF of the above expression

we have to take the GCF of 6, 8, 10, GCF of same variable of the above three terms of expression.

\(\text{GCF of 2, 6 and 8 is 2}\)

\(\text{GCF of }x^2, x\text{ and x is x }\)

\(\text{GCF of }y^2,y^2\text{ and }y^3\text{ is }y^2\)

\(\text{Hence, the GCF is }2xy^2\)