The primate groups most closely related to humans are Apes. The gorillas, orangutans and chimpanzees are the great apes. The gibbons are lesser apes. The Miocene epoch leads to emergence and diversification of Hominoids. The hominoids are humans, great apes and gibbons.
The human and chimpanzee last common ancestor survived for about 6.5mya. The teeth and fragmented jaws are the fossil evidence of living humans and apes. Thus, Apes are the primate groups that are closely related to humans.