No, you do not need a garbage disposal to have a dishwasher. A dishwasher will work without one, and while it's rare to see a home with a dishwasher that doesn't have a disposal, it is possible. The two appliances pair well and are often installed together because a disposal simplifies meal cleanup.

However, your dishwasher should not be used as a replacement for a garbage disposal. Subjecting it to continuous food leftovers can lead to major clogs. If you choose not to install a garbage disposal, you should thoroughly rinse your plates or scrape excess food into the trash or a compost pile before loading them into the dishwasher to prevent plumbing issues.

To prevent drain clogs, perform regular maintenance and cleaning. Avoid disposing of substances like grease or coffee grounds down the sink. Additionally, installing and routinely using drain strainers can help catch debris and prevent blockages from forming.

There are many maintenance and repair issues that lead to a malfunctioning garbage disposal. Regular clogs place wear and tear on the motors, leading to an eventual shutdown. Electrical issues at the breaker, wall outlet, or disposal itself can fry the unit. The most common cause is simply a worn-down motor. These motors can only handle so much use before powering down for good. 

These appliances do unscrew, but you need to disconnect everything properly when you replace your garbage disposal. Make sure you shut the power off to the area first and check that it’s off with a voltage detector. Disconnect the main drain line and P-trap, and then disconnect the dishwasher drain line if you have one connected. You can then unscrew your garbage disposal using a disposal wrench. Just make sure you disconnect the electrical lines before removing your appliance.