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For schools I was considering, I found the GMAT much more widely accepted than the GRE. While some schools would accept either, in those cases where there is one standard -- it was always the GMAT.
Since I was looking at mostly econ programs I focused on the GRE. I only applied to one business program (marketing) and my GRE score was pretty good so they didn't require me to take the GMAT and converted using the tool below.
I am not sure that the GRE is any "easier", the main difference I found was that the GRE has Quantitative Comparison questions while the GMAT uses Data Sufficiency, otherwise the content is pretty comparable. (Though I hear many struggle with Data Sufficiency people I know who practiced them found they did pretty well on them.)
It seems like the two tests are highly correlated: Here's a link to a comparison tool GRE: For Institutions: GRE Comparison Tool and a good explanation of the correlation.