If I were limited to these two brands, I'd choose Savage every time. They tend to be more accurate; with the new Accu-Trigger they have a better trigger pull; and Remington's QC has been all over the place for the last few years.
However, before buying any US-made rifle, I'd check out three foreign competitors: CZ, Tikka, and Howa. I find them (in my experience, anyway) to be uniformly of better build quality, use better materials, and perform at least as well as (usually better than) anything from Winchester, Remington, Ruger or Savage. They're not badly priced, either... a tad higher than the US equivalents, but heck - you pay for what you get!