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But you might want to look at the rest of the King's cages. My experience has been great. I received a perfect cage in just a few days and it still looks brand new 18 months later. So easy to clean and service with outside feeders, large doors and a somewhat horizontal design.
Have a look at this site for wingspan information. A GCC has a wingspan of 15.5" so you're looking for a cage at least 1.5x that. They reccommend a minimum of 24"x24" or 26"x20".
I'm in the UK so don't know where you can get a suitable cage, sorry.