'
Are you using reloads or are you using factory ammunition? Does it work with factory ammunition - if it does, then your reloads are suspect.
If not, then your rifle is suspect.
If your rifle is suspect, then try placing a cartridge case onto the bolt face. Does it go on fairly easy, and most of all, does it have clearance on the rim when the extractor slips over the rim, or, is it really tight when being held by the extractor. If it is really tight, then the extractor might have to be relieved slightly on the back side where it grips the rim. Also check the hook area of the extractor for burrs or anything that can make it difficult for the rim to slip underneath the extractor. If there is not enough clearance for the rim to go past and behind the extractor, then the extractor does not engage the rim of the cartridge and allow it to be taken out of the chamber. In other words, the extractor may be riding on the edge of the rim, rather than in the groove.
Is it the right extractor? If a 30-06 extractor has been replaced with an extractor for a magnum cartridge, then slippage could occur.
The Savage is a push feed system. That means that the cartridge is pushed out of the magazine into the chamber and then the bolt moves forward enough so that the base and rim of the cartridge pushes the extractor out of the way and then the extractor snaps back to engage the rim. Therefore the base of the cartridge has to stay out of the chamber by a certain distance for this to happen, and, the extractor must have enough clearance to snap back and engage the rim. If the extractor is too big, it will only engage a small area of the rim, and if it is too thick or has burrs on it, it will not return back far enough to engage the rim.
Another problem is that the extractor spring is weak, or the small ball that the spring pushes against the extractor is missing. This condition would not provide enough force for the extractor to work properly when it is engaged with the rim, and the rim would simply push the extractor back outwards when the bolt is opened.
.