What is the HCF of 96 and 72?
The highest common factor of 96 and 72 is the largest possible number, which divides both of them exactly without any remainder.
Answer: HCF of 96 and 72 is 24.
Let us see how to find the HCF of 96 and 72
Explanation:
For 96 and 72, HCF is the highest number among all the common factors of both 96 and 72.
Let us see how to calculate it below:
HCF of 96 and 72 by Listing the factors
First, let us list the factors of 96 and 72 and identify the common factors, the least among the common factors is the ^{ HCF of 96 and 72}
Factors of 72 = 1, 2, 3, 4, 6, 8, 9 12, 18, 24, 36, and 72
Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Common factors (72,96) = 1,2,3,4,6,8,12,24
The highest common factor is 24.
Therefore HCF of 96 and 72 is 24.
HCF of 96 and 72 by Division Method

In this method, we divide 96 by 72 and check the remainder.

Since the remainder is 24, take it as the divisor and divide it with the previous divisor '72'.

Continue the long division till you get the remainder as 0.