Find the greatest common factor of 15x²y³ and -18x³yz.

Solution:

Given, the terms are 15x²y³ and -18x³yz

We have to find the greatest common factor of the terms.

15x²y³ = 3 × 5 × x² × y² × y

-18x³yz = -2 × 3 × 3 × x² × x × y × z

The greatest common factor = 3 × x² × y 

= 3x²y

Therefore, the greatest common factor is 3x²y.

Example:

Which of the following is the greatest common factor of the terms 48s⁵t³u² and 40s³tu⁴?

Solution:

Given, the terms are 48s⁵t³u² and 40s³tu⁴

We have to find the greatest common factor of the terms.

48s⁵t³u² = 2 × 2 × 2 × 2 × 3 × s⁵ × t³ × u²

40s³tu⁴ = 2 × 2 × 2 × 5 × s³ × t × u⁴

The greatest common factor = 2³ × s³ × t × u²

= 8s³tu²

Therefore, the greatest common factor is 8s³tu².

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Find the greatest common factor of 15x²y³ and -18x³yz.

Summary:

The greatest common factor of the terms 15x²y³ and -18x³yz is 3x²y.