I have a kitchen single lever moen faucet and the cartridge wont come out. I have removed the retaining clip and all screws

You have to take the chrome cover off the valve and then you can remove the retainer clip.

Cartridge removal is a simple matter of exposing and pulling out the old cartridge. Before getting started, turn off both water valves underneath the sink and allow the water to run until the line is clear. Using a screwdriver, gently pry off the cap on the lever of the faucet handle to expose the cartridge. Remove the U-shaped retaining clip that holds the cartridge in place and pull the cartridge out. If dirt or residue makes removal difficult, use a Moen cartridge puller to assist you. A cartridge puller fits over the cartridge and gives you greater pulling power.

Soak the dirty cartridge in vinegar for four hours and replace.

If cleaning the cartridge does not work, call the Moen Helpline at 1-800-465-6636 or Customer Service at 1-800-465-6130 to order a free replacement. Locate the part number on the cover page of your instruction manual. If you no longer have the manual, look on the underside of the spout.

The water supply should have no bearing on the working motion of the faucet cartridge or handle. On both models of Moen faucet, the handle needs to be hooked under the cartridge's top cam bearing. It is a bit tricky sometimes. Here's the parts view for 7300 and 7310 Moen Kitchen faucet. Parts view for 7100 Moen.
If you need further assistance please let us know.

Once the clip is removed it should pull out but they can be stubborn sometimes. You might want to clamp the stem with a Visegrips and yank away.

it should be under the pivot nut /collar,(where you remove handle from.un screw it and look closely.it is shaped like a horse shoe and may have small hole in it,and is brass in color

You need a Moen cartridge puller or a plumber who has one on his truck.

pop the cap on top the handle,remove screw,work handle off and unscrew retainer nut. a tip,raise the center of cartridge up when you reassemble,so it work's good .

ur cartridge needs service or replacement u can turn off water supply remove lever and retaining nuts pull up cartridge and inspect the o rings for debris and or damage if good inspect cartridge for damage if looks check gaskets/o-rings in stem for same add a little vasline around o-rings and reinstall test for leak if leaking still replace all o-rings or if cartridge order and replace

Moen is a cartridge style unit. They make two different cartridges that you can buy at Home Depot. Turn the water off under the sink and then remove the handle. You will see the the cartridge. It has a U shaped retaining clip that pulls out. Once you remove it, then take a pair of pliers and pull the cartridge out. Take it up to HD and match the one you have. The new one will slide right back in and you will reverse the process.

After some additional experimenting, contrary to information I was previously able to gather, I discovered that the white plastic retainer doesn't (in this type of Moen faucet) actually screw off but rather is held in place by a spring clip inserted from the rear of the retainer (toward the wall side of the basing). Simply sticking a small screwdriver in the opening (approx. 45 degrees downward) and tipping the screwdriver toward the front of the faucet, snaps the spring clip out through the opening.
The plastic retainer than lifts off. Note: the flat sides on the retainer suggest that a wrench will be needed but such is not the case.