The 33-year-old is now officially Britain's most successful ever track and field athlete after coming out on top in the men's 5,000m at Rio 2016.
Farah's impressive achievement in the early hours of Sunday morning means that he is just the second male Olympian to defend both the 5,000m and 10,000m titles at the Games.
With four Olympic golds now in the bag, Farah does not currently have any intention of defending his track titles for a second time, but he has not ruled out competing in the marathon at Tokyo 2020.
"[In] 2017, I'd like to end it on the track, and then we'll see what we can do in the marathon," he told BBC Sport. "In the long-distance events you can't plan too far ahead. But you can't rule it out.
"I know my career is short and I try and make the most of it. I enjoy what I do, and I try to make nation and country proud. I owe it to the people."
Farah finished eighth when making his maiden marathon appearance at London 2012.