What is the HCF of 4052 and 420?
HCF (Greatest Common Factor) of two numbers is the largest possible number that divides the two numbers exactly without any remainder.
Answer: HCF of 4052 and 420 is 4
Let us see how to find the HCF of 4052 and 420
Explanation:
To find the HCF (Highest Common Factor) of 4052 and 420, we have to determine the largest possible number which divides 4052 and 420 exactly leaving the remainder as 0.
We will explain the HCF of 4052 and 420 using the following two methods.
Methods to Find HCF of 4052 and 420

HCF of 4052 and 420 by Long Division
Step 1: Divide the larger number 420 by the smaller 4052 and check the remainder. Here, the remainder is 272
Step 2: Make the remainder 272 as the divisor and the divisor 420 as the dividend and perform the long division again.
Step 3: Continue till you get the remainder as 0 and HCF of 4052 and 420 is the last divisor obtained.

HCF of 4052 and 420 by Prime Factorization
Let us represent 4052 and 420 as a product of its prime factors.
Prime factorization of 4052 is 2 × 2 × 1013
Prime factorization of 420 is 2 × 2 × 3 × 5 × 7
The common prime factors are 2 and 2
HCF is the product of the prime factors that are common to each of the given numbers.
HCF of 4052 and 420 is 4
You can find the HCF in any of the above methods but the solution will be the same.