Common Factors Calculator
How to Use the Common Factors Calculator
Example:
Let’s find the common factors of 5
, 2
, 6
, and 52
.

Input Field:
 Enter the numbers
5, 2, 6, 52
into the input field, separated by commas.
 Enter the numbers

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.
 After clicking the “Calculate” button, the calculator will:
Formulas and Solution:

Finding Factors:
 The factors of a number $n$ are all the integers that divide $n$ evenly without a remainder. For example: $$\text{Factorsof}5=1,5$$$$\text{Factorsof}2=1,2$$$$\text{Factorsof}6=1,2,3,6$$$$\text{Factorsof}52=1,2,4,13,26,52$$

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

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
, and52
are limited to1
because that is the only number that divides evenly into all of them. Therefore, the GCF is1
.
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