In how many ways the number 18900 can be split in two factors which are relatively prime or co prime

Explanation

Let N=`18900=2^(2)*3^(3)*5^(2)*7^(1)`
Relatively prime or coprime Two numbers not necessarily prime are said to be relatively prime or coprime, if their HCF (highest common factor) in one as 2,3,5,7 are relatively prime numbers.
`thereforen=4` [number of different primes in N]
Hence, number of ways in which a composite number N can be resolved into two factors which are relativelly prime or comprime=`2^(4-1)=2^(3)=8`