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I honestly don't think Amazon is even close to Google.

How much more infrastructure do they have besides AWS? How much does Google have besides GCP?

That's ignoring just how much larger AWS is than GCP.

Sure, but those are the public offerings - the largest part of Google's infrastructure is not public.

Capital expenditures might shed some light on this. I don't think there's enough public data to be clear but in 2015 Amazon (4.8B), Google (9.9B) and Microsoft (5.9B) were at least on the same order of magnitude in terms of CapEx, whereas other major "datacenter" companies like Rackspace (475M) are much smaller.

I don't think you can draw any definitive conclusions from this, but calling it a class of size 1 or 2 is probably an overstatement of Google (+/- Amazon)'s advantage over Microsoft at least.

What? Close to what? There are many many companies with lots of network infrastructure. Google and Amazon are not by themselves.

Ever heard of Facebook ? :)