Question

Thr greatest common factor of the expressions ,-5^3y^2,10xy^2z and 15y^2z^2​

Answer 1

Given:

5³y², 10xy²z and 15y³z²

To find:

The greatest common factor of the given expression

Solution:

The greatest common factor is the set of the largest factors that all the set of the numbers have in common in their factorization.

Here we have given the numbers as:

5³y² = 5×5×5×y×y

10xy²z = 2×5×x×y×y×z

15y²z² = 3×5×y×y×z×z

Here the bolded units are common in all and that is the greatest factor all the given numbers have.

So the greatest common factor is

• 5×y×y
• 5y²

The greatest common factor of 5³y², 10xy²z and 15y³z² is 5y²