A control apparatus which makes it possible to realize a configuration for processing a plurality of print jobs efficiently without waste while meeting needs for performing a glossing process on prints. When a sheet printed in a first process is fed from a sheet feeder, the printing apparatus executes a second printing process for processing the fed sheet. When an interrupting factor occurs during execution of the second printing process to cause interruption of the processing, the interrupted processing is resumed on condition that the interrupting factor is removed. A resuming method of resuming the processing is determined based on contents of the processing in the second process.