Question

The HCF of two prime numbers is ___________

Answer 1

First recall the definition of prime numbers.

You know that prime numbers are those numbers that have only two factors one and itself.

So, lets us take one example of two prime numbers are $5$ and $7$

Now, factors of $5$ are $1,5$

factors of $7$ are $1,7$

So, common factors of $5$ and $7$ is $1$

Therefore, the HCF of $5$ and $7$ is $1$

Hence, the HCF of any two prime numbers is always $1$