Two integers, written as products of their prime factors, are \(2^p \times 3 \times 5^r\) and \(2 \times 3^q \times 5^4\).
The highest common factor of these two integers is \(2 \times 3 \times 5^2\). The lowest common multiple of these two integers is \(2^3 \times 3 \times 5^4\). Find the values of \(p\), \(q\) and \(r\).
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