Chapter 4.2, Problem 40E

To determine

To find greatest common factor of given monomial.

Answer to Problem 40E

  $a{b}^3$

Explanation of Solution

Given Information: $a^2{b}^3,a{b}^3$

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

Calculation:

Factors of $a^2{b}^3$ = $a\times a\times b\times b\times b$

Factors of $a{b}^3$ = $a\times b\times b\times b$

Greatest common factor of a variable is the biggest divisor that divides both the monomials. Therefore, the GCF of variable is $a{b}^3$

The final answer: $a{b}^3$