CFE223 meters well and can be used for both. The powders you use for 223 work for the lighter (150gr and down) 308 bullets as well. For heavy 308 IMR4064 works well but does not meter well.
CFE 223 is my favorite powder for .224 caliber.
4064 works for both, but like he said, it meters very bad. You can also use 4198 for both although you'll run into the same problem as the 4064. I find it to be very pleasant to shoot out of an AR. Soft recoil.