[EPQ Vol 1A] Question 4

Written as the product of their prime factors,

First integer:
\(2^{p}\times 3^{2}\times 7\)

Second integer:
\(2\times 3^{q}\times 5^{r}\)

The highest common factor is \(6\) and the lowest common multiple is
\(2^{2}\times 3^{2}\times 5^{3}\times 7\).

Find the values of \(p\), \(q\) and \(r\).