Question

Find greatest common factor of 15x^2y^3 and -18x^3yz there r 3 answers

Answer 1

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

Answer 2

`3x^2y`

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`.