Chapter 4.2, Problem 43E

To determine

To find greatest common factor of given monomial.

Answer to Problem 43E

  $9wx$

Explanation of Solution

Given Information: $18w{x}^2,45wx$

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

Calculation:

The factors of 18 are: 1, 2, 3, 6, 9, 18

The factors of 45 are: 1, 3, 5, 9, 15, 45

Then the greatest common factor is 9.

Greatest common factor of a variable is the biggest divisor that divides both the monomials.

Factors of $w{x}^2=w\times x\times x$

Factors of $wx=w\times x$

Therefore, the GCF of variable is $wx$

The final answer: $9wx$