What is the greatest common factor of 24x^2yz^3-(-9xyz^2)?

Question

What is the greatest common factor?

Answer 1

Simplify the expression: 24x^2yz^3+9xyz^2.

If we factorise this, the GCF goes outside the brackets:

First we look for the numerical common factor: 24 and 9 have a GCF of 3.

Next we have x and x^2: GCF=x; then y and y: GCF=y.

Finally z^3 and z^2: GCF=z^2.

Combine all these GCFs: 3xyz^2.

Rewrite the expression: 3xyz^2(8xz+3).