# What is the greatest common factor of 48 and 84?

#### Understand the Problem

The question is asking for the greatest common factor (GCF) of the numbers 48 and 84. To find this, we will determine the factors of each number and identify the highest factor that both numbers share.

The greatest common factor (GCF) of 48 and 84 is $12$.

The greatest common factor (GCF) of 48 and 84 is $12$.

#### Steps to Solve

1. List the factors of each number

To find the GCF, first, we need to list the factors of both numbers.

For 48:

• The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

For 84:

• The factors of 84 are: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
1. Identify the common factors

Next, identify which factors are common to both lists.

Common factors of 48 and 84:

• They share the factors: 1, 2, 3, 4, 6, 12
1. Determine the greatest common factor

Now, we need to find the greatest value among the common factors identified in the previous step.

The greatest common factor is 12.

The greatest common factor (GCF) of 48 and 84 is $12$.