Capacitor specification for computer logic board replacement
Without a schematic or service manual you don't know what other specs are important.  Probably leakage current isn't a issue, but ESR and ripple current could be depending on how the caps are used.  A cap in a switching power supply, particularly on the output, can quite likely require a certain ripple current rating.  ESR may also matter, but if you meet the ripple current rating the ESR most likely will be good enough.

The best thing to do is to replace the caps with the same model, or look up the specs for the model and get something equivalent.  However, some far east caps may be hard to trace and hard to find a datasheet for even if you could figure out who made them.

To some extent the size will tell you if ripple current is a issue.  Caps that can handle more ripple current are physically larger.

If in doubt, replace with Panasonic FC series if they fit.  These have low ESR and high ripple current tolerance.  If the Panasonic FC are too big, then they are probably not high ripple current caps and you can replace with something like the HA series.