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 of these two integers is \(6\).
The lowest common multiple of these two integers is \(2^{2}\times 3^{2}\times 5^{3}\times 7\).
Find the values of \(p\), \(q\) and \(r\).
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