Sprinkle baking soda onto the couch, including the top and bottom of each cushion. Baking soda can remove a variety of odors. Allow the baking soda to remain on the sofa for roughly 10 minutes.
Vacuum the old couch thoroughly with your vacuum cleaner. Use the brush attachment to suck up all the baking soda, as well as any loose dust, dirt and hair from the upholstery. Be sure to go over the front and back of the sofa, as well as the top and bottom of each cushion. Use the vacuum's crevice attachment to clean out all of the couch's hard-to-reach spots.
Pour warm water into a bucket. Add enough mild liquid dish or laundry detergent to the water to make a layer of suds or foam.
Locate an inconspicuous area on the used couch to spot test. One of the best areas is the back of the sofa, near the bottom. If the couch has skirting, find the area where the skirting overlaps. Dip the brush into the soapy foam and lightly scrub it onto the spot-test area. Wait several minutes. If you don't notice any discoloration, it's fine to continue cleaning.
Apply some more soap suds to the scrub brush and lightly scrub each section of the couch. After you scrub one section, dab up any extra moisture with a clean, lint-free towel. Move on to the next section and continue in a similar fashion until you clean the entire couch, including both sides of the cushions.