What is the HCF of 28 and 36?
HCF (highest common factor) of two numbers 28 and 36 is the largest possible whole number which exactly divides both the numbers.
Answer: HCF of 28 and 36 is 4
Lets see how to find the HCF of 28 and 36
The highest common factor of two numbers is the largest possible number which divides both the numbers exactly without any remainder.
Methods to Find HCF of 28 and 36
HCF can be calculated using the below-listed methods.
- Listing the common factors
- Long division
Method1: Listing the Common Factors Method to Find HCF of 28 and 36
In this method, we list all the factors of 28 and 36, then identify the common factors.
The highest among the common factors is the HCF of 28 and 36.
The factors of 28 are 1, 2, 4, 7, 14, 28
Common Factors of 28 and 36: 1, 2, 4
Greatest common factor= 4
HCF of 28 and 36 is 4
Method 2: Long Division Method To Find HCF of 28 and 36
Step 1: Divide 36 by 28 and check the remainder.
Step 2: Make the remainder of the above step as the divisor and the divisor of the above step as the dividend and perform the long division again.
Step 3: Continue till you get remainder as 0
HCF of 28 and 36 is unique and is independent of the method we choose.