Chapter 4.2, Problem 13C

To determine

To find greatest common factor of given monomial.

Answer to Problem 13C

  $7x{y}^2$

Explanation of Solution

Given Information: $7x{y}^3,28x{y}^2$

Formula used: Calculate Greatest common factor using factor method of monomial.

Calculation:

The factors of $7x{y}^3$ are:

  $7x{y}^3=7\times x\times y\times y\times y$

The factors of $28x{y}^2$ are: $28x{y}^2=7\times 2\times 2\times x\times y\times y$

Since $7\times x\times y\times y$ is common between both factors, Then the greatest common factor is $7x{y}^2$ .

The final answer: $7x{y}^2$