If $$x$$ and $$y$$ are positive integers and $$\frac{(8)(7)(6)(5)(4)(3)}{(2^{x})(3^{y})}$$is an integer, what is the greatest possible value of $$xy$$?
If $$x$$ and $$y$$ are positive integers and $$\frac{(8)(7)(6)(5)(4)(3)}{(2^{x})(3^{y})}$$is an integer, what is the greatest possible value of $$xy$$?