**Greatest Common Factor of 8 and 12**

**Find the Greatest Common Factor of 8 and 12.**

**Methods to Find GCF of 8 and 12**

**Factorisation Method****Prime Factorisation Method****Common Division Method****Division Method**

**1. Greatest Common Factor of 8 and 12 by Factorisation Method**

We have 8= 1 x 8 ; 8=2 x 4

All the factors of 8 are : 1, 2, 4, 8

Again 12= 1 x 12 ; 12 =2 x 6 ; 12= 3 x 4

So , all the factors of 12 are : 1 , 2, 3, 4, 6, 12

Common factors of 8 and 12 are : 1, 2, 4

Hence, the Greatest Common Factor of 8 and 12 or HCF of 8 and 12 is 4.

**2. Greatest Common Factor of 8 and 12 by Prime Factorisation Method**

By prime factorisation, we have :

8= 2 x 2 x 2

12= 2 x 2 x 3

Greatest Common Factor of 8 and 12 = product of common prime factors of 8 and 12

= 2 x 2 =4

Hence , the GCF of 8 and 12 is 4.

**3. Greatest Common Factor of 8 and 12 by Common Division Method**

**Common Division Method : The steps for Common Division Method are given below:**

Step 1: Arrange the given numbers in a line in any order.

Step 2: Divide the numbers by the lowest common prime number. Write the quotients below the numbers.

Step 3: Then divide the quotients by the lowest common prime number.

Step 4: Repeat the process till there are no common prime numbers to divide by.

Step 5 : The product of the divisors is the required GCF.

**Greatest Common Factor of 8 and 12 by common division method**

We have

**4. GCF of 8 and 12 by Division Method **

So GCF of 8 and 12 is = 4

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