What is the HCF of 4052 and 12576?
The highest common factor of two or more numbers is defined as the largest number which divides the given numbers exactly i.e., without any remainder. It is also called the greatest common factor.
Answer: HCF of 4052 and 12576 is 4
Let us see how to find the HCF of 4052 and 12576
Methods to Find HCF of 4052 and 12567
HCF can be obtained by any of these methods

Listing the common factors method

Long division Method
Method1: HCF of 4052 and 12576 by Listing the Common Factors
Factors of 4052 are 1, 2, 4, 1013, 2026, and 4052.
Factors of 12576 are listed as 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 131, 262, 393, 524, 786, 1048, 1572, 2096, 3144, 4192, 6288, and 12576.
Common Factors of 4052 and 12576 are 1, 2 and 4
The highest among all the common factors, in short, HCF of 4052 and 12576 is 4
Method2: HCF of 4052 and 12576 by Long Division

Divide 12576 by 4052 and check the remainder.

The nonzero remainder of the above step is the divisor and the divisor of the above step to be the dividend and continue the long division again.

Continue till you get the remainder as 0 and terminate the process here.
HCF can be calculated in any of the above methods. But the solution of HCF of 4052 and 12576 remains the same as it is independent of the method we opt for.