The Competing Values Framework categorizes organizational culture into four quadrants based on two dimensions: flexibility vs stability and internal orientation vs external orientation. Each quadrant represents a different culture type - clan, adhocracy, market, and hierarchy - with different leadership styles and values. For example, clan culture focuses on collaboration and values commitment to employees, while market culture focuses on competition and values goals and profitability. Organizations can assess which quadrant best fits their culture to understand how to be most effective.