The most basic framework of a faction should allow it to rise quickly, while as for foundation, it would require time to be properly created. As long as a faction continued to develop stably, their foundation would also expand sooner or later. For example, the division of power of belief: previously when the power of belief of Asura City was offered to Asura, a small portion of it would go to the people controlling the city.
When the four great clans and city the lord's mansion obtained that power of belief, they could create gods at a steady pace. It was like a rolling snowball, the more time passed, the larger it became.
The situation of Asura City had changed though, and it was no longer certain whether god father would divide the power of belief among the four clans or not.
