That depends on how it's stuck! Without going into a long and entertaining story--I've seen a loader (about the JD 555 size) sunk 6' straight down (the grass ended where the tracks broke through). Anchor chain might not have been enough to pull it out..... fortunately, the equipment owner knew a few tricks and it only took two cords of wood. If it had been a dozer and not a loader, it might still be there.
I usually figure, at a minimum, what it takes to lift the machine. In this case, that's 5/8 of grade 70 or higher. Or 1" cable (smaller if you double it around a sheave).