# Common Factors Calculator

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023

Get your answers to all those Common Factor problems in the blink of an eye with the help of our easy-to-use online tool Common Factors Calculator. Enter a number in the input field and click the "Calculate" button to get the result immediately.

Common Factors of:

Here are some samples of Common Factors of Numbers calculations.

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Common Factor Calculator: Wondered about the way todiscover the Common Factors of given numbers? Then you've landedon theproper page. This calculator of ours is all about helping you find Common Factors of numbers that you might be spending too much time on. With our Common Factor calculator, you can do it in less time with more accuracy. It also helps you understand the concept deeply and thoroughly side- by side.

### What are Common Factors?

A factor, in mathematics, is a number or algebraic expression that divides another number or expression and leaves no remainder behind. Moreover, Every number has at least two factors, some numbers have more than two factors.

For example, 2 and 4 are factors of 12 because 12 ÷ 2 = 6 and 12 ÷ 4 = 3.

The other factors of 12 are 1, 6, 3, and 12.

Factors that are mutual in two or more numbers are called common factors. In other words, a common factor is a number by which a set of two or more numbers will be divided exactly i.e will leave no remainder.

### How to Find Common Factors?

To find the common factors of given numbers follow the steps given below.

1. Note down the two numbers you wish to calculate the common factors for.
2. Now enlist the factor for the first number and similarly write down for the second number too.
3. Compare the already determined factors and find out the common factors present in them.
4. Finally, the common factors of both numbers can be distinguished easily.

### Solved Example to Determine the Common Factors of the Given Two Numbers

Example:

Write down the common factors of 36 and 63.

Solution:

For 36

1 × 36 = 36

2 × 18 = 36

3 × 12 = 36

4 × 9 = 36

6 × 6 = 36

Stop here, because the number 6 is repeated.

Therefore, 1, 2, 3, 4, 6, 9, 12, 18, and 36 are the factors of 36.

For 63

1 × 63 = 63

3 × 21 = 63

7 × 9 = 63

9 × 7 = 63

Stop here, because the numbers 7 and 9 are repeated.

Therefore, 1, 3, 7, 9, 21 and 63 are factors of 63.

As it can be observed that 1, 3 and 9 are common in both lists.

Hence, the common factors of 36 and 63 are 1, 3 and 9.

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### FAQs on Factoring Common Factors Calculator

1. What are common factors used for?

The factors are the numbers which when multiplied get the new numbers.

We can find out the common factors for two or more numbers by discovering the factors that are the same for all numbers.

2. Which factor is common to all numbers?

1 can be referred to as a factor that is common to all numbers.

3. What is the highest factor of any number?

The highest factor of any number is referred to as the HCF, the Highest common factor. For example factors of 18 are 1,2,3,6,9,18 and factors of 27 are 1,3,9,27. Thus, the common factors of 18 and 27 are 1,3,9. The highest of them is 9 i.e the HCF.

4. Why do we need the highest common factor?

The highest common factor is useful in splitting things into several smaller sections or to arrange a particular data into specific rows or groups.