Brown Hiking

What caliber do i need to kill a brown bear?

Next summer me and my friends are going hiking, in a region full of bears. One of us, who claims to be an weapons specialist, owns a standard AR15 but does it really kill a bear. I have heard stories that even AK can't kill bears and that you need something really big to kill a grown bear.
A friend of my father owns a remington 700 with zeiss optics and .300 Win Mag Caliber. Is it enough? Which one should we take with us, or beter both?

Take the .300, if you are hiking and can afford it everyone needs a .44 mag revolver, that you can hang off your hip. With siidearms your hike will be more enjoyable and safer, granted everyone knows how to use the weapon they are packing.

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