Answer:
Gorillas are defined by biologists in the following groups, from most specific to least:
Species: Gorilla gorilla or gorilla beringei, (lowland and mountain gorilla, respectively).
Genus: Gorilla
Family: Homonidae
Order: Primates
Class: Mammalia
Phylum: Chordata, (vertibrates)
Kingdom: Animalia
Domain: Eukarya, (multi-cellular organisms)
and if you really want to get general: Life