Question

Find the hcf of 72,96

Answer 1

Answer:

Explanation:

The prime factorization of 72 is: 2 x 2 x 2 x 3 x 3

The prime factorization of 96 is: 2 x 2 x 2 x 2 x 2 x 3

The prime factors and multiplicities 72 and 96 have in common are: 2 x 2 x 2 x 3

2 x 2 x 2 x 3 is the hcf of 72 and 96

hcf(72,96) = 24

Answer 2

Answer:

The HCF of 72 and 96 will be 24.

Step-by-step Explanation:

Given: The numbers are 72 and 96.

We have to find the HCF of the above numbers.

• As we know that the greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

We are solving in the following way:

We have,

The numbers are 72 and 96.

First, we will find the factors of the above numbers.

The factors of 72 are: $1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72$

The factors of 96 are: $1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96$

From the above, we can see that 24 is the largest positive integer that divides each of the given integers.

Therefore the greatest common factor(HCF) is 24.