[QUOTE=what is the range of a .308 win
There are only three things which matter in determining the supersonic range of a bullet. Those are the bullet's ballistic coefficient (BC) , it's muzzle velocity, and the air density. The highest BC .308 caliber bullets I know of are the Lost River Ballistics J40 220 grain VLD solids with a G1 BC of .928. The are very long for 308's and when loaded in a 308 cartridge will be way over SAAMI spec length so they must be fired single shot in most rifles. Few 308 rifles have a twist rate fast enough to stabilize them.
I have some of the LRB 308-220 bullets and could shoot them in my DPMS-LR-308 by loading them single shot . It's an unusual 308 in that It has a 10" twist 24" barrel. Normally even that's not a fast enough twist for the LRB 308-220, but I live and shoot at over a mile elevation. A Quickload simulation says I'd get about 2450 fps and that would give a supersonic range of over a mile with that elevation and bullet. Actually Quickload showed 1900 yards to the speed of sound, but the LRB's would probably go unstable first.
I'm not saying that would be a practical application. But your question was open ended. In fact you didn't mention if the "range" was supersonic or "effective" or maximum. I'd expect that same bullet to travel at least three miles if fired at about a 36 degree angle.
I have a rifle specifically built built to shoot those bullets. . It's a 30" barrel 300 RUM with a 9" twist. It still has to be fired single shot, but it's supersonic range is over two kilometers at a mile elevation.