Verified Answer :

15x²y³,-18x³yz
15=3×5
18=2×3×3
g.c.f.=3x²y

Answer:

\(3x^2y\)

Step-by-step explanation:

We are asked to find the greatest common factors of \(15x^2y^3\) and \(-18x^2yz\).

We know that the greatest common factors of two numbers is a number that divides both numbers completely.

Factors of \(15x^2y^3\) : \(3\cdot 5\cdot x \cdot x\cdot y\cdot y\cdot \cdot y\)

Factors of \(-18x^2yz\) : \(3\cdot 3\cdot -2\cdot x \cdot x\cdot y\cdot z\)

We can see that both terms share a common factor that is \(3x^2y\)

Therefore, the greatest common factor of both expressions is \(3x^2y\).