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 \(3x^2y\).