What is the HCF of 18 and 20?
The largest possible number which divides the given numbers exactly without leaving any remainder is called the HCF (Highest Common Factor).
Answer: HCF of 18 and 20 is 2
We will explain two methods to find the HCF of 18 and 20
The two methods that we are using to find HCF of 18 and 20 are shown below.
- Listing the common factors method
- Long Division method
Method 1: Find HCF of 18 and 20 by Listing Common Factors
The factors of 18 and 20 are shown below:
The common factors of 18 and 20 are 1 and 2
HCF is the product of the factors that are common to each of the given numbers.
So, HCF of 18 and 20 is 2.
Method 2: Find HCF of 18 and 20 by Long Division
The steps to find the HCF(18, 20) by long division are mentioned below.
Step 1: Divide 20 by 18 and check the remainder. We get the remainder as 2.
Step 2: Make the remainder of the above step 2 as the divisor and the divisor of the above step 18 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 20 and 18.
The greatest common factor of 18 and 20 is 2.
You can find the HCF in any of the above methods but the solution will be the same.