What is the HCF of 2048 and 960?
The highest common factor of 2048 and 960 is the largest possible number, which divides them both exactly without any remainder.
Answer: HFC of 2048 and 960 is 64.
Let us see how to find HFC of 2048 and 960.
Explanation:
For 2048 and 960, HCF is the highest number among all the common factors of both 2048 and 960.
Let us see how to calculate it below:
HCF of 2048 and 960 by List of Factors Method:
In this method, we list the factors of 2048 and 960 to find the greatest common factor among the list of factors.
Factors of 2048 are:
2048 = 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048
Factors of 960 are:
960 = 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96
We see the highest common factor among the common factors of 2048 and 960 is 64, therefore, HCF of 2048 and 960 is 64.
HCF of 2048 and 960 by Division Method

Divide 2048 by 960 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.
Since we got the remainder as 0, 64 is the HCF of 2048 and 960.