I think other posters have framed things pretty well. Here are some considerations:
1) Gun Accuracy - Your particular gun may like one better than others. The range is the only place to find out.
2) Kinetic Energy - The formula is mass X velocity squared. Factory ammo will have the muzzle velocity posted.
3) Trajectory and ranging - The lighter projectile will likely have a higher muzzle velocity and a flatter trajectory. Inside 100 yard this doesn't matter. If you are shooting longer distances, it allows for more room for error in your distance estimate. If you are using a digital ranger, then this will make little difference.
There are more technical details like the BC of the projectile and such, but in practical terms, both ill have more than sufficient KE to kill whitetail deer are reasonable range.
These days there is one more consideration, availability. Some ammo can be hard to find. I don't know about your specific load, but it makes sense to take a look at how hard a particular load is to find and consider that in your choice.