Out of the box, my experience is that Savages shoot accurately in almost any caliber. I have two Savage .308s and they both shot factory ammo accurately out of the box with factory ammo. I, too, use Federal GGM or Black Hills as my reference factory ammos.
But I will admit that all my rifles shoot more accurately with my hand loads because factory ammo sells velocity rather than accuracy.
But I would have to agree with Snyper that there are differences between rifles of the same manufacturer.
My two Savage .308s are almost identical but one shoots 150 to 168 grain bullets most accurately and the other shoots 175 to 200 grain bullets most accurately. If I only shot 168 grain bullets, I would have never found that out.
If you are willing to try different bullet weights, you probably will find a factory ammo that a new rifle will prefer.