I don't think one is better than the other. I find the Savages to be a little uglier, some are a little stiffer to operate, and the stocks in the past left alot to be disired. As for the Remington's, I've seen a few more duds, the finish on some of their lower end models isn't great, the lower end stocks aren't great but better than Savage's tupperware, the detachable mag system is sparace and Savage's is a little nicer, barrels require a gunsmith to change, and headspacing is not as accurate. The accu-trigger is awesome, but only if you like accu-triggers. I happen to like a 6 ounce trigger that doesn't go off on its own and kill the neighbours cat, and the accu-trigger does a good job of not doing that, and cats everywhere are thankful. Now that comment isn't implying that Remington's triggers aren't safe, but more or less saying all extremely light triggers can be dangerous in field guns.
If I were to buy a 223 or a 308 at this very moment? I'd build one from the ground up