Question

Show that the following pairs are co primes $59,97$.

Answer 1

Verify the given statement:

A group of co-prime numbers must consist of at least two different numbers. Co-prime numbers include those with only $1$ as their greatest common factor, such as ($4$ and $7$) and ($5,7,9$). It should be noted that co-prime numbers do not always have to be prime numbers. Co-prime numbers can also be formed by two composite numbers, such as $4$ and $9$.

To show that the given numbers are co-prime, their HCF should be $1$

Given numbers are $59$ and $97$

The $\mathrm{H}.\mathrm{C}.\mathrm{F}\left(59,97\right)=1$

Hence $59,97$ are co-primes.