The intrinsic qualities of something have to do with its nature. An intrinsic quality of dogs is that they're loyal.
Anything intrinsic comes from within. Doing a job for only money is not intrinsic. Doing a job because you love it is intrinsic; the motivation comes from within. It's good to treat people as having intrinsic value. If you like someone for intrinsic reasons, then you have no other motivation. The opposite of intrinsic is extrinsic, for things that come from the outside instead of from the inside.