At minimum, an epoxy-based paint (pricey) and a good dehumidifier after it's applied.
If it's a new-ish pour, you'll need to wait for it to fully cure .. do a web search on recommended times.
Regardless how smoothly it was troweled, etching is recommended before any paint's applied .. etching = acid solution, most commonly muriatic.
Conversely, if the basement space isn't used for much beside storage and the moisture isn't such that things fall apart down there,
investing in a good 70 quart dehumidifier (w/ hose > floor drain) may be enough to obviate the need for messing with paint, etc.
/.02
Thank you. The floor is about 12 year old. Does $3000 to clean and seal floors and wall for a 700 soft area sound reasonable?( For 2 coats of a water based epoxy seal. )Thanks in advance.