The Ruins of Bael Turath
As players complete quests for each of the Factions their reputation with that faction will grow. Reputation is also a good indicated of a factions Guild Strength, because with each quest completed for them, that faction get stronger.
Here is a quick comparison of the various factions that the Players have been helping. If any faction reaches exalted status they will be deemed powerful enough to rule the City out-right, or at least complete their main goals.