Fixed it for you... It pays to know the difference...

I also agree with Top about the .308... Particularly for one that is still learning the difference between "caliber and cartridge".

Based on yer initial question you were basically asking if you should use a .22 caliber or .308 caliber for whitetails... Not to be misunderstood, all 3 "cartridges" you mentioned are capable of killing a whitetail... but so is a .22 short under the right circumstances. Learning about, and understanding the capabilities of the cartridge your using is very important...