What is the HCF of 36 and 84?
Highest Common Factor:It is the largest possible number which divides the given numbers exactly without leaving any remainder.
Answer: HCF of 36 and 84 is 12
Let us see how to find the HCF of 36 and 84
Methods to Find HCF of 36 and 84
Two methods to find the HCF of 36 and 84 are explained below.

HCF of 36 and 84 by Prime Factorization
 HCF of 36 and 84 by Listing the Common Factors
Method1: HCF of 36 and 84 by Prime Factorization
36 and 84 are represented as a product of their prime numbers
Prime factorization of 36: 2 × 2 × 3 × 3
Prime factorization of 84: 2 × 2 × 3 × 7
HCF: It is the product of the factors that are common to each of the given numbers.
Method2: CF of 36 and 84 by Listing the Common Factors
Factors of 36 : 1, 2, 3, 4, 6, 9, 12, 18, 36
Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Common Factors of 36 and 84: 1, 2, 3, 4, 6, and 12
Therefore, HCF of 36 and 84 is 12