Question

find the hcf of 28,42

Answer 1

Answer:

The HCF of 28 and 42 is 14.

Step-by-step explanation:

Given: The numbers are 28 and 42.

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 28 and 42.

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

The factors of 28 are: $1, 2, 4, 7, 14, 28$

The factors of 42 are: $1, 2, 3, 6, 7, 14, 21, 42$

From the above, we can see that 14 is the highest number among all the common factors of the given numbers.

So, the greatest common factor(HCF) is 14.