Chapter 4.2, Problem 12C

To determine

To find greatest common factor of given monomial.

Answer to Problem 12C

2y

Explanation of Solution

Given Information: $32y^2,6x^{2}y$

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

Calculation:

The factors of $6x^{2}y$ are: $6x^{2}y=2\times 3\times y\times x\times x$

The factors of $32y^2$ are: $32y^2=2\times 2\times 2\times 2\times y\times y$

Since $2\times y$ is common between the two numbers, then the greatest common factor is 2y.

The final answer: 2y