Do you happen to know that that is the particular definition mrkmcknz means? It's not clear to me, and it looks like you've just chosen a common dictionary definition and used that to indicate they aren't calling it a good company, while other dictionary definitions for great explicitly mean things equivalent to "very good".
It's the second-most-common interpretation where "very good" doesn't seem to be the intended meaning. Commonly used in phrases like "Napoleon was a great man." Basically means "historically important."