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: $$\text{Factors of }5=1,5$$$$\text{Factors of }2=1,2$$$$\text{Factors of }6=1,2,3,6$$$$\text{Factors of }52=1,2,4,13,26,52$$

2. Finding Common Factors:

   • The common factors are the factors that appear in all of the sets.
   • In this case: $$\text{Common Factors}=1$$

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.