On a very broad scale....since you gave no specifics...if the final load was 4 ohms to the amp, the amp will generally run cooler. If the final load is 2 ohms to the amp, you can buy a smaller amp, due to the power generally doubles from 4 ohms to ohms.
Ex. You have 2 woofers, both handle 500 watts. If they can be wired to a 4 ohm config only, you would need a 1000x1 @ 4ohm amp, if you wanted to send them full power. This can be more on the expensive side. Where as, if the subs were able to be wired to 2 ohms (still 500 watts each) you could possibly get an amp that is 500x1 at 4 ohms. Most amps, if able to run 2 ohms, will generally double power at 2 ohms, thus giving you 1000x1. This will generally be less expensive, but the amps will run warmer.