I typed out a nice long reply to your post and then deleted it as I did not like what I had written, so I am starting all over again. the very first thing that I need to say is that if you live in the northern hemisphere that your birds should not be laying eggs now. This means that I first need to have an idea as to where you live, the country will tell me enough about that if you would share this with us it would be helpful. Also helpful for giving you the most beneficial information that we can would be if you would tell us about your birds diet, that is what foods do you give it and when do you provide the foods. Please tell us about the schedule that your birds have as far as when they get up and go to bed as well as whether they are covered at night or not. Do you provide them with a cuttlebone or any other form of calcium? Can you tell us when each of the eggs were laid?
All of this information is primarily about your two birds health and well being although it will also help about the babies should these eggs hatch.
Now for the more unpleasant part of my reply to you. Please understand that I am very aware of the attraction of possibly having some baby birds of your own to raise, but unless you are very experienced you should not allow these eggs to hatch if they are fertile. Their are a lot of things that can go wrong and it would be much less heart rending to prevent them from hatching than to watch the babies die. For future reference here is where you can get dummy eggs for your parrots, should you need them in the future.
http://dummyeggs.com/ Depending on your birds current diet they may need a vitamin D-3 and a calcium supplement to replace the calcium in their bodies that was used in the creation of these eggs. More about that when you tell us about their diet.
As I have already said, unless you are very experienced you do not want these eggs to hatch even if they are fertile, but you do not want to just remove them either as this could cause chronic egg laying and a serious calcium depletion in the bird(s) who laid the eggs, resulting in the bird(s) demise.
I would recommend that you order one or two sets of the dummy eggs to replace the real eggs with. You will need to have enough eggs to replace each egg that is laid and the normal clutch size for a GCC is four to six eggs and although you might not believe it they do count their eggs and know if they have the right number of eggs. If you cant get the replacement eggs right away you can pull two of the eggs and freeze them for an hour and then thaw them at room temperature or in cold water and mark them with a permanent marker and switch them for the other ones and repeat as needed.
I am sorry that this is not the advice that you wanted, but it is honestly the best advice that I can offer to you at the present time.