This is a bit of a generalisation, but the more resonance structures you have, the more delocalised the charge, and therefore the more stable the species.
Take for example the following conjugate bases:
SO42- - I can draw 6 equivalent resonance structures
SO32- - I can draw 3 equivalent resonance structures
We would expect the negative charge to be more delocalised for the sulfate anion, and therefore sulfate to be a more stable conjugate base. The more stable a conjugate base is, the more acidic the acid it came from is (ie. conjugate base forms more readily for for a bisulfate than a bisulfite).
This does turn out to be the case, sodium bisulfate (NaHSO4) has a pKa of about 2, and sodium bisulfite (NaHSO3) closer to 7 (this is a difference of 5 orders of magnitude!)