What is the HCF of 1872 and 1320?
The highest common factor of 1872 and 1320 is the largest possible number, which divides both of them exactly without any remainder.
Answer: HCF of 1872 and 1320 is 24.
Let us see how to find the HCF of 1872 and 1320.
Explanation:
For 1872 and 1320, HCF is the highest number among all the common factors of both 1872 and 1320.
Let us see how to calculate it below:
HCF of 1872 and 1320 by Prime Factorization
Write both 1872 and 1320 as a product of its prime numbers by doing Prime factorization.
Prime factorization of 1872: 2 x 2 x 2 x 2 x 3 x 3 x 13
Prime factorization of 1320: 2 x 2 x 2 x 3 x 5 x 11
As we see the common factor of 1872 and 1320 are 2 x 2 x 2 x 3 , therefore, HCF of 1728 and 1320 is 24.
HCF of 1872 and 1320 by Division Method

In this method, we divide 1872 by 1320 and check the remainder.

If the remainder is nonzero, take it as a divisor and divide it with the previous divisor.

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