Question

Find the Hcf of 25and40

Answer 1

How to find the GCF of 25 and 40

The prime factorization of 25 is: 5 x 5.

The prime factorization of 40 is: 2 x 2 x 2 x 5.

The prime factors and multiplicities 25 and 40 have in common are: 5.

5 is the gcf of 25 and 40.

gcf(25,40) = 5.

Answer 2

Answer:

The HCF of 25 and 40​ is 5.

Step-by-step explanation:

Given: The numbers are 25 and 40​.

We have to find the HCF of the above numbers.

• As we know, the HCF (Highest Common Factor) of two or more numbers is the highest number among all the common factors of the given numbers.
• HCF is also known as the greatest common factor.

We are solving in the following way:

We have,

The numbers are 25 and 40​.

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

The factors of 25 are: $1, 5, 25$

The factors of 40 are: $1, 2, 4, 5, 8, 10, 20, 40$

From the above, we can see that 5 is the highest number among all the common factors of the given numbers.

So, the greatest common factor(HCF) is 5.