1. Battery: Check the battery terminals to make sure they are clean and free of corrosion. If they are corroded, clean them with a wire brush and baking soda solution.
2. Alternator: The alternator is responsible for charging the battery. If it is not working properly, the battery will not be able to hold a charge and the light will stay on.
3. Voltage Regulator: The voltage regulator controls the amount of voltage that goes to the battery. If it is not working properly, the battery can be overcharged or undercharged, which will cause the light to stay on.
4. Wiring: Check the wiring to make sure there are no loose or broken connections. If there are, repair them and see if that fixes the problem.
If you are unable to find the source of the problem yourself, you can take your Silverado to a mechanic for diagnosis and repair.