# HCF full form – What is Full Form Of HCF?

HCF Full Form: When listening to the Full Form HCF we thought it very easy but sometimes we forgot it. So, the HCF Full Form is “HIGHEST COMMON FACTOR”

• H = Highest
• C = Common
• F = Factor
• HCF = Highest Common Factor

All We HCF is part of Mathematics that we learn from standard 4 to 5. Also, if you never Learn or Forgot all the details of HCF.

Then read completely and I am Going to Discuss all the Steps How you Find HCF of Any Number. HCF Full Form and all Steps related to the HCF.

## What Is HCF? HCF Full Form

HCF is the Highest Common Factor of some Number when their factor will be compared. So, there are many steps to find the HCF of any numbers.

Before we learn how to find the HCF?. Do we have to learn What is a factor? and How to Find factors and all steps are pointed below.

• What is Factor?
• How To Find Factor?
• What Is Prime Number and Composite Number?
• What is Prime Factorisation?
• How to Find Prime Factorisation?
• How to Find Common Factors?
• How to find HCF?

The above steps are very important to find the HCF of any number. Let’s begins the process How to find the HCF?

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### What Is Factor? – HCF Full Form

The Numbers that are multiplied to get a product are called its Factors. Let 2and 4 are Multiplied and the Product is 8 then 2 and 4 are factors of 8.

There is some property of the Factor that helps us to better understand the Factor Finding process. So, read the below properties.

• 1 is the Smallest Factor of all numbers.
• 1 is the Lowest Common Factor of all number
• The Number whose Factor will be found and that number is the Greatest factor of ownself.
• All Factors of a Number are less than or equal to The Number whose Factor will be found.

### How to Find a Factor?

There are two processes to find the factors that are given below.

• Factor pair
• Factor Pair in Multiplication
• Factor Pair In Division
• Prime Factorisation

Now we have to discuss the Factor pair method only because to use Prime Factorisation. We have Learn Prime Factorisation Properly and that is to be explained below.

So, now we Starting the two methods of Factor Pair to Find Factor of any Number.

#### Factor Pair In Multiplication

Let’s Find the factor of 24 by the Factor pair by multiplication method. So, let’s start the process.

The Factors of 24 are = 1, 2, 3, 4, 6, 8, 12, 24. This is the process to find the Factors by the Factor Pair Method.

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#### Factor Pair In Division

Let’s Find the factor of 24 by the Factor pair by Division Method. So, Let’s start the process.

Hence the Factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. This the Factor Pair Division method by this you can easily find the factor of any number.

So, the next process is Prime Factorisation before we learning how to find Factor by Prime Factorisation. We have to know all about the Prime Factorisation.

Also, before learning about the Prime Factorisation you have to learn about What Is Prime Number and Composite Number?

#### What Is Prime Number and Composite Number?

The Number Which has only Two Factors is known as the Prime Number and One Factor is 1 and the other is the Number itself.

EX- 2, 3, 5, 7, 11, 13, etc all Number has only two factors

The Number which has more than two factors is known as Composite Number.

EX- 4, 8, 10 etc.

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#### What is Prime Factorisation? HCF Full Form

When the Factors of a number are all prime numbers. it is called the Prime Factorisation of the number.

There are two methods that can you use to find the Prime Factorisation of any Number.

• Factor Tree Method of Prime Factorisation.
• Common Division Method of Prime Factorisation.
##### How to Find Prime Factorisation? By Using Factor Tree

This is a very simple process to find the Prime Factorisation and you can easily find Prime Factorisation of Any Number. Let’s Starts…

• Next, find the smallest Prime Factor of 12.
• Then Find the Smallest Prime Factor of 6.
• Continue to find the smallest Prime Factor at every step.
• Stop when the last row has the only prime number.

Factor Tree is a very easy method to find the Prime Factorisation of any number. Now time to discuss the second method How to Find Prime Factorisation?

##### How to Find Prime Factorisation? By Common Division.

Dear friends, this is a very simple process for Prime Factprisation of any number. So, in this method, the only division is taken place to find Prime Factorisation.

• First Divide the 24 by its Small factor
• Then again divide the 12 by its small factor
• continue the division process up to when you don’t get a Prime Number.
• Stop the division when you get a Prime Number

By this process, you can easily find the Prime Factorisation of any number. Now we have to know How to Find Common Factor?

### How to Find Common Factor?

If you going to know How to Find Common Factor? then first you have to know how to find a factor?. Also, you learn how to find a factor?

We have to compare factors of two or more numbers then we find the common factor of any numbers.

Let’s find the common factor of 24 and 32.

Factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24

Factors of 32 are 1, 2, 4, 8, 16, and 32

So the Common factors of 24 and 32 are 1, 2, 4, 8

Hence you can easily find the common factors in these ways. also, you can use the Prime Factorisation to find Common factor. so, first, you have to find the Factors individually and then compare and you can easily find the common factor.

## How to Find the Highest Common Factor? – HCF full form

From the above steps, you have learned how to find common factors. So, Now in this way you easily get the HCF- Highest Common Factor.

This is very simple let’s find the HCF of the 32 and 44.

Factors of 32 are 1, 2, 4, 8, 16, and 32

Factors of 44 are 1, 2, 4, 11, 21, and 42

The Common Factors are 1, 2, and 4.

Hence the Highest Common Factor (HCF) is 4.

So, this the process to find the HCF. also, you learn all about how you find the HCF of any number. Also, you learn about the HCF full form.

#### Conclusion point – HCF Full Form

Dear friends, you have learned all about the HCF full form and the whole process of how to find the HCF?

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