A fastening system for securing a component includes a first securing element having an engagement end and external toothing, a second securing element having elastic clamp members arranged about a common axis and having internal toothing facing the axis, and a fixing member. The clamps members assume a radial position relative to the axis that is variable due to their elasticity. The clamps are designed such that the second securing element can be pushed onto the engagement end such that the teeth of the engagement end and the clamps snap into each other. The clamps move from a first radial position to an external second radial position to engage or disengage a snapped-in state when shifting the external toothing and the first internal toothing to each other.