Turn off the air conditioner and furnace and cut the power to ensure the system doesn't come on during the cleaning process. This helps to prevent accidents.
Remove the outer case from the unit outside the house. The coils inside the building that are connected to the furnace itself are the evaporator coils. The condenser coils are located outdoors in the air conditioner. The case should just pull off.
Unscrew the grill at the top of the system to gain better access to the condenser coils. You might need a screwdriver, depending on the system model.
Spray a no-rinse foaming coil cleaner to both sides of the condenser coils. Allow the cleaner to sit for several minutes.
Suck up any remaining cleaner off the coils with a shop vacuum. The vacuum also removes dirt and dust from the coils.
Rinse the coils with a garden hose. Aim the hose outward so the water falls out of the system through the grills on the side. Secure the top grill again and push the casing back down over the system.