The ideal temperature for fermenting kombucha is 69-81º F.
If your culture is brewing at a colder temperature (66–68 º F.) it generally takes 3 weeks to fully ferment. However, if your brew ferments at a colder temperature, it's more likely that it will grow mold. If your culture is brewing at warmer temperatures (82–84 º F.) it is likely that the yeast will overpopulate and ferment too quickly.