According to one or more embodiments, multiple related data streams are compressed jointly, such that substantive similarities between the multiple related streams are leveraged to reduce the overall size of the resulting compressed data. Specifically, given the compressed version of a primary data stream, a secondary data stream may be highly compressed by utilizing portions of the compressed version of the primary data stream to represent similar portions of the secondary data stream. A compression application is configured to receive (either concurrently or separately) information identifying multiple related input streams. For each input stream provided to the compression application, the application outputs one output stream. The computing system writes the output streams of the compression application to storage. Embodiments allow the size of the compressed version of a secondary data stream to be greatly reduced compared to the size of the stream compressed without reference to a primary data stream.