<p>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 $r$.

</p>

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 $r$.

