Most people think the beaver is better. I personally think the Manmoth is. Tame a high lvl mammoth, pump all melee, put on a ramp quetz, use exploit to your advantage = tons of wood with no effort. Beavers AoE is not as big, doesn't work on quetz.
Best way to tame is have a crossbow with butt load of tranq arrows walk backwards tranqing it as you go every now and then you need to turn around to get a bit further away. I know this works because i have three mammoths that i used this exact stratigy on
If you see one near a body of water get a aquatic animal and start shooting it with tranq arrows/darts while your in the water stay away from the land or the mammoth will try to attack you if your not on land then it won’t noticeonce it’s knocked feed it