What’s considered “best” in this question. Fastest kills, consistently? .300s. Less meat damage and most penetration without losing sight of the bears for long after the hit? .375s.
All died, results based on time til down. They die no differently than black bears aside from just generally being bigger, and reacting far more aggressively to being wounded, anatomically there is no difference however in how they die. The same placement and cartridges kill them quick as do big black bears, they’re made of the same meat and bones, and only their attitude differs. The smallest I’d say sure let’s hunt to would be a .270, the one I’d say use one of mine instead to most readily would be the .45-70 or .450 Marlin.
Best choices from what I saw,
.300 Magnums (the most common choice), with impacts above 2400fps.
7 Mag, very close second, the last grizzly I guided was taken by a member’s son with one.
.375 Magnums third (the second most common), very effective but bears had a short death sprint left in them. Never saw a .375 Ultra work, it likely would be the ultimate but nobody wants to shoot it in a rifle you can carry for ten days.
Worst choices from what I saw, resulting in 100-200 yard death strolls though still undeniably lethal,
7x57 175gr
.450 Marlin