Well, to get to the maximum rank of Grand Marshal/High Warlord you need a total of 7200 Honor. So assuming you lose all your games you’d need 720 games to get there. If they were against the same faction as you and you won all of them, you’d need half as many, so 360. If they were all against the opposing faction and won, you’d halve that number again to 180.
But you also need to keep in mind that when you gain an honor rank, any extra honor you might have gotten does not carry over to the next rank, so you probably need to add some extra games to that counter. The last 2 ranks require 900 and 1400 honor respectively, so we do the calculations again: Losses only = 90/140, Wins = 45/70, Wins VS Other Faction = 22.5/35 games to reach those ranks.
All in all, if you play the game regularly, it doesn’t really seem too bad. Taking it all in steps is the best way to go about it. Just focus on the next rank and how many games you need for that. Any wins just speed up your progress.