Several factors can influence the Km of an enzyme: 1. pH: Changes in pH can alter the ionization state of the enzyme and substrate, thus affecting Km. 2. Temperature: Temperature variations can affect enzyme structure and therefore Km. 3. Presence of Inhibitors: Competitive inhibitors increase the apparent Km by competing with the substrate for the active site. 4. Mutations: Genetic mutations in the enzyme can lead to changes in the active site, influencing Km.