A common reason the service 4 wheel drive light goes on in the silverados is a malfunction of the dash mounted transfer case control switch. There is actually a TSB on the switch assembly. This is also the easiest thing to fix. You can buy a new assembly online for around 50 dollars and it should fix the problem. But to be sure, if you are able to aquire one, the next time the light come on, plug a diagnostic computer into the port under the dash and a trouble code should come up which when googled will tell you exactly what is wrong.
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The 2012 Chevrolet Silverado-3500HD has rear wheel drive.
The 2010 Chevrolet Silverado-3500HD has rear wheel drive.
The 2010 Chevrolet Silverado-1500 has rear wheel drive.
The 2011 Chevrolet Silverado-1500 has rear wheel drive.
The 2013 Chevrolet Silverado-3500HD has rear wheel drive.
The 2001 Chevrolet Silverado-2500HD has rear wheel drive.
The 2001 Chevrolet Silverado-1500 has rear wheel drive.
The 2007 Chevrolet Silverado-2500HD has rear wheel drive.
The 2004 Chevrolet Silverado-2500HD has rear wheel drive.
The 2007 Chevrolet Silverado-1500 has rear wheel drive.
The 2008 Chevrolet Silverado-2500HD has rear wheel drive.
The 2008 Chevrolet Silverado-1500 has rear wheel drive.