First of all, Phil has a hell of a lot more experience than me hunting bears so what he has to say has to be seriously considered
.......but personally I use the 375 H&H loaded with 275 BBC for the big bears..Coastal Grizzly, Kodiak/Brown Bears and Polar Bears...everything else in NA I have used both the 270 and 30-06 with no problems... but if I were Moose or Sheep hunting hunting with my '06 loaded with 200 BBC I would have no trouble tackling a Mountain Grizzly...