I've read the answers on this site, and now I'm wondering, where is the aerator?
OP: noted there was no water from the Faucet or Dishwasher, in subsequent follow up, it was noted the dishwasher does work & use of the Hot or Cold produces no water flow.
To directly answer your question the aerator of a typical kitchen faucet is located as shown below by the arrow.
The aerator is mounted on the end of the faucet and is probably not the problem. I am assuming you are speaking of the cold water supply. If you do not get water from these 2 items then the problem is in the supply piping. Chemicals in the water can coat and plug smaller passage ways in the valves and tubing connections. My neighbor had very little cold water flow and the problem was a plugged shut-off valve under the kitchen sink. The valve was replaced and that solved the problem.
There are two knobs usually located under the sink. One is for Hot water and the other for cold water - it is where you can directly turn off water on the Sink or Dishwasher with out affecting the rest of the house.
EDIT 9-2-2017 see the Additional Causes listed below the picture.
They look like this:
EDIT 9-2-2017
If you now have water to your Dishwasher and no water from the faucet.
1: Single Handle Faucet ? Then the Faucet unit could be bad - there is usually a cartridge fitting that you can replace.
2: You do not state if it is a new install or older install - it could be the handle is not properly attached to the cartridge .. on a single handle there is usually a screw that fits into the handle mechanics - it may have backed out or is broken.
You could have pinched the lines to your faucet if it was a new install and using PVC line - UNLIKELY but doable.
I would not suspect a clogged aerator even though it is possible - you would notice a trickle effect and if this is the case - buy a new faucet and install a filter on the lines - too much sediment and garbage in your water line.
