What is the HCF of 84 and 144?
HCF (Highest Common Factor) of two numbers x and y is the largest possible number that divides x and y exactly without any remainder.
Answer: HCF of 84 and 144 is 12
Let us see how to find the HCF of 84 and 144
Explanation:
We can find the HCF of 84 and 144 by the following two methods:

HCF of 84 and 144 by Listing the common factors

HCF of 84 and 144 by Long division
Method 1: HCF of 84 and 144 by Listing the Common Factors
Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84
Factors of 144: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 12, 48, 72 and 144
Common Factors of 84 and 144: 1, 2, 3, 4, 6 and 12
The Highest Common Factor 84 and 144 from the list is 12
HCF of 84 and 144 is 12
Method 2: HCF of 84 and 144 by Long Division Method
Step 1: Divide the larger number 144 by the smaller number 84 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 the remainder as 0 and the last divisor will be the HCF(84, 144)
You can find the HCF in any of the above methods but the solution will always remain the same.