Huttese was the language spoken by the Hutts, a slug-like species who called Nal Hutta their homeworld. It was also commonly spoken on Hutt-controlled planets like Tatooine. Even on worlds such as Lothal, where Hutts were not in power, their tongue was still a widespread trade language. Despite its prevalence, Huttese was generally unknown to stormtroopers, the soldiers of the Galactic Empire, as most of them could not speak anything other than Galactic Basic Standard.
Greedo was speaking to Han Solo in Huttese, this is also the language Anakin spoke as a child to Sebulba.