Those two scopes should be able to use the same base and ring configuration because they both have 1" rings and same size objective lense housing (40mm).
If you go to larger objective scope, s.a. 50mm, you will likely need higher mounts than whatever you have now.
The Vortex scope may have 30mm tube. If so, you will need 30mm rings.
Basically, you first must consider the tube size (1" or 30mm), size of objective lense (to determine low, medium or high mount rings). It is generally considered preferable to mount the scope as low or close to barrel as possible without touching it.
Different ring types require different bases. But it is safe to say if you have rings that currently work with your bases, the scope you choose will not change that. The rings either fit the base or they don't.
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