a) Two numbers, \(a\) and \(b\), are relatively prime and their product is equal to \(3^5 \times 7^2\). What could these numbers be? Find all the possibilities.
b) The gcd of two numbers, \(c\) and \(d\), is \(20\) and their product is \(2^4 \times 5^3\). What could these numbers be? Find all the answers.