What is the HCF of 36 and 48?
HCF of two or more numbers is the largest possible number which divides the given numbers exactly without any remainder.
Answer: HCF of 36 and 48 is 12
We can find the HCF by the different methods few are shown below
Methods to Find HCF of 36 and 48
We can find the HCF by the following methods

Prime Factorization

Listing the common factors method
Method 1: HCF of 36 and 48 by Prime Factorization
Let us represent 36 and 48 as a product of its prime numbers
Method 2: HCF of 36 and 48 by Listing the Common Factors
Let us list the factors of 36 and 48 and identify which are common among them
Factors of 36 : 1, 2, 3, 4, 6, 9, 12, 18, and 36
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48
Common Factors of 36 and 48: 1, 2, 3, 4, 6, 12
Greatest among them is 12.
Therefore, HCF of 36 and 48 is 12
HCF of 36 and 48 by Long Division Method
 Step 1: Divide 48 by 36 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
 Step 4: The divisor of the final step is the HCF of the given numbers.
HCF of 36 and 48 is 12.
Did you observe that whatever method we do , HCF of 36 and 48 will remain the same.