A compact filter has a compact filter element for exchangeable use in a filter housing and the compact filter element has a filter body of a web-shaped filter medium. The web-shaped filter medium has at least one flat filter medium web and one corrugated filter medium web that are placed onto each other and at least partially connected to each other by ultrasonic welding. At least one of the flat and corrugated filter medium webs is a composite filter medium web of at least two components, wherein at least one component is a synthetic material and one component is a non-synthetic material. The non-synthetic material is a plant-derived material and forms a support of the composite filter medium web and the synthetic material is a synthetic layer applied on the support.