I assume you mean Enlightenment meaning the faith in human reason and Great Awakening meaning religious revival as both of these terms apply to eras in European colonial history. For me, I would have to say that even though Jud-eo Christian values in colonial America brought about some of the best concepts in law and civility, Enlightenment concepts played a more crucial role in actually developing the ideas of self determination that govern much of what we see today in America. So I would have to say, short answer- Enlightenment because looking back, it led to a more structured governmental system that allowed for many types of freedoms.