get engine model numbers off engine decal or stamped on engine cooling shroud sheet metal. Go to Kohler website. Find/download service manual for that engine/carb. Get carb rebuild kit from any dealer carrying Kohnler engine parts. work clean. Thoroughly clean carb. replace all gaskets with fresh new ones from kit. Have fun.

To add to the above excellent advice, the cause of carb issues is usually water or debris- so be sure to run fresh fuel through the line before you replace the filter. You can carefully blow through the line that goes from the filter through the pump and to the carb by mouth or very light pressure. You may have to deflood the engine and change the oil, oil filter and air filters as well. You may get by w/o a kit- but it is the best way. If your carb has an accelerator pump (small side 3 screw cover w/ hose)- take real good care of it as they are pricey and not in the kits.