# Common Factors Calculator

## Common Factors Calculator

### How to Use the Common Factors Calculator

#### Example:

Let’s find the common factors of 5, 2, 6, and 52.

1. Input Field:

• Enter the numbers 5, 2, 6, 52 into the input field, separated by commas.
2. Click “Calculate”:

• After clicking the “Calculate” button, the calculator will:
• Find the factors of each number.
• Identify the common factors shared by all numbers.
• Determine the Greatest Common Factor (GCF), which is the largest common factor among the numbers.

#### Formulas and Solution:

1. Finding Factors:

• The factors of a number $n$ are all the integers that divide $n$ evenly without a remainder. For example:
2. Finding Common Factors:

• The common factors are the factors that appear in all of the sets.
• In this case:
3. Greatest Common Factor (GCF):

• The GCF is the largest of the common factors. $\text{GCF}=1$

#### Solution for the Example:

• The factors of 5 are: 1, 5

• The factors of 2 are: 1, 2

• The factors of 6 are: 1, 2, 3, 6

• The factors of 52 are: 1, 2, 4, 13, 26, 52

• The common factor is 1.

• The Greatest Common Factor (GCF) is 1.

#### Explanation:

• In this example, the common factors of 5, 2, 6, and 52 are limited to 1 because that is the only number that divides evenly into all of them. Therefore, the GCF is 1.