please help me if you know the answer

okay so i have a save of tomodachi life that i love more then anything but i need to do a factory reset of my 3ds. I have a cartage of the game. when i do a factory reset of my 3ds and put the cartage back in will it keep all of my save data? I haven't sent any miis as travelers yet because i knew there might be issues with saving the spot pass. please help if you need any more information just ask.