# What is the GCF of 54 and 42?

#### Understand the Problem

The question is asking for the greatest common factor (GCF) of the numbers 54 and 42. To solve this, we will find the factors of both numbers and determine the largest factor they have in common.

$6$

The greatest common factor (GCF) of 54 and 42 is $6$.

#### Steps to Solve

1. List the Factors of Each Number

First, we'll find the factors of 54. The factors of 54 are the numbers that can divide 54 without leaving a remainder:
Factors of 54: 1, 2, 3, 6, 9, 18, 27, 54.

Next, we find the factors of 42:
Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42.

1. Identify the Common Factors

Now that we have the factors for both numbers, we identify the common factors between them:
Common factors of 54 and 42: 1, 2, 3, 6.

1. Determine the Greatest Common Factor (GCF)

The final step is to find the largest number in the list of common factors, which is the GCF:
The GCF of 54 and 42 is 6.

The greatest common factor (GCF) of 54 and 42 is $6$.