bleach

Bleach removes the mold, but does not kill mold spores.

There are several home recipies and some OTC products that kill spores.

Just remove the material and move on.

Most of the spores 9If there are any) will be in the material.

Absent moisture and nutrients any remaining are unlikely to germinate.

Is this just concrete walls and floor? If so you might be able to do as brickeyee suggests and sleep soundly at night. How big of a pile of sawdust was this?What concerns me is that if a pile of sawdust got moldy, rather than drying out,promptly, you have too much moisture in your basement and will have continuing mold problems. This could be dangerous for your house and you. Get an inexpensive thermometer/hygrometer that registers max/min and monitor the situation. You should be below 50% relative humidity all the time. If is is drier than that most of the time, then short excursions above that are O.K.

Bleach does not "remove" or clean any more than plain water does. (It does not have detergent or soap properties.) It is registered to kill fungi. "Mold" is an imprecise term, but sodium hypochlorite bleach used on a clean, nonporous surface at the correct concentrations should kill mold. Concrete would not be considered a nonporous surface. I would also be cautious about the chemical effects of hypochlorites on concrete. Come to think about it, it is safe for pools. OTOH, I guess they are coated.

"chemical effects of hypochlorites on concrete"

None of any significance.