RE: .308 & 30-06 Bullets ???
If you want one bullet to load both then you should try the .308" 165 gr Spire point by Hornady.
That being said, you may get lucky and this bullet will shoot accurately out of both rifles. The trouble is that rifles are like women, it takes different things to 'turn them on'. Your '06 may like 180 gr bullets and your 308 may like 150 grainers. But you won't know this until you begin to experiment.
For deer size game, anything from the 150 - 180 gr range will work for you.