What is the HCF of 108 and 144?
The largest possible number which divides the given numbers exactly without any remainder is called the HCF (Highest Common Factor).
Answer: HCF of 108 and 144 is 36
We will explain two methods to find the HCF of 108 and 144
The two methods that we are using to find HCF of 108 and 144 are shown below.
- Listing the common factors method
- Long Division method
Method 1: Find HCF of 108 and 144 by Listing Common Factors
The factors of 108 and 144 are shown below.
The common factor of 108 and 144 is 36
HCF is the product of the factors that are common to each of the given numbers.
So, HCF of 108 and 144 is 36
Method 2: Find HCF of 108 and 144 by Long Division
The steps to find the HCF(108, 144) by long division are mentioned below.
Step 1: Divide 144 by 108 and check the remainder. We get the remainder 36.
Step 2: Make the remainder of the above step 36 as the divisor and the divisor of the above step 108 as the dividend and perform the long division again.
Step 3: Continue till you get the remainder as 0 and the last divisor is the HCF of 144 and 108
The greatest common factor of 108 and 144 is 36
You can find the HCF in any of the above methods but the solution will be the same.