Chapter 4.2, Problem 37E

To determine

To find greatest common factor of given monomial.

Answer to Problem 37E

  $2m^{2}n$

Explanation of Solution

Given Information: $12m^2{n}^3,70m^{3}n$

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

Calculation:

The factors of $12m^2{n}^3$ are: $12m^2{n}^3=3\times 2\times 2\times m\times m\times n\times n\times n$

The factors of $70m^{3}n$ are: $70m^{3}n=2\times 5\times 2\times m\times m\times m\times n$

Since $2\times m\times m\times n$ is common in both numbers, then the greatest common factor is $2m^{2}n$ .

The final answer: $2m^{2}n$ .