Chapter 7.5, Problem 27IP

To determine

Find the GCF of $36k\text{and}144km$

Answer to Problem 27IP

GCF of $36k\text{and}144km$ is $36k$ .

Explanation of Solution

Given:

Pair of monomials: $36k\text{and}144km$

Concept Used:

GCF is the greatest common factor of the pair of monomials.

Calculation:

  $\begin{array}{l}36k=2·2·3·3·k\\ 144km=2·2·2·2·3·3·k·m\\ \text{GCF}=2·2·3·3·k=36k\end{array}$

Thus, GCF of $36k\text{and}144km$ is $36k$