Identify whether the following numbers are co-prime or not. $15, 52$ .

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Solution

Co-prime numbers: Two numbers are said to be co-prime if $1$ is their only common factor. So, the HCF of co-prime numbers is $1$ .
First, we need to find the prime factorization of given numbers.
So, $15 = 3 \times 5$
$52 = 2 \times 2 \times 13$
There is no common factor in $15$ and $52$ other than $1$ .
Hence $15$ and $52$ are co-prime numbers.

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