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