Verified Answer :

15x^2y^3=35xxyyy
-20x^3yz=-1225xxxyz
comon numbers are
5,x,x,y

greatest common factor is 5x^2y

Answer:

\(5x^2y\)

Step-by-step explanation:

We are given that  two terms are

\(15x^2y^3, -20x^3yz\)

We have to find the GCF of given terms

\(15x^2=3\times 5\times y\times y\times y\times x\times x\)

\(-20x^3yz=-2\times 2\times 5\times x\times x\times x\times y\times z\)

GFC=\(5\times x\times x\times y\)

GCF=\(5x^2y\)

Answer:\(5x^2y\)