Chapter 8, Problem 16SGR

To determine

To Find: The greatest common factor of the monomial set given.

Answer to Problem 16SGR

The greatest common factor of the monomial set is:

  $2\cdot 3\cdot 3\cdot 4\cdot x\times y\cdot y=72x^2{y}^2$

Explanation of Solution

Given information:

  $21xy,28x^{2}y,42x{y}^2$

The monomial can be factored as below:

  $21xy=3\cdot 7\cdot xy$

  $28x^{2}y=4\cdot 7\cdot x\cdot x\cdot y$

  $42x{y}^2=2\cdot 3\cdot 7\cdot xy\cdot y$

The greatest common factor of the monomial set is:

  $2\cdot 3\cdot 3\cdot 4\cdot x\times y\cdot y=72x^2{y}^2$