# Chapter 1 - Some Basic Concepts of Arithmetic and Algebra - Chapter 1 Review Problem Set - Page 38: 21

$18$

#### Work Step by Step

The factors of $36$ are $\{1,2,3,4,6,9,12,18,36\}$ The factors of $54$ are $\{1,2,3,6,9,18,27,54\}$ Out of these two sets, the $\text{greatest}$ common element is $18$. Therefore, the $\text{GCF}$ of $36$ and $54$ is $18$.

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