Brahms major works are as follows
Schumann wrote 3 piano sonatas, Brahms wrote 3 piano sonatas
Schumann wrote 3 violin sonatas, Brahms wrote 3 violin sonatas
Schumann wrote 3 piano trios, Brahms wrote 3 piano trios (piano, violin and cello)
Schumann wrote 3 string quartets, Brahms wrote 3 string quartets
Schumann wrote 4 symphonies, Brahms wrote 4 symphonies
Schumann wrote 1 piano concerto, 1 violin concerto and 1 cello concerto, Brahms wrote 1 piano concerto (the 1st piano concerto wasn't originally conceived as a piano concerto), 1 violin concerto and a double concerto for cello and violin.
Schumann wrote intermezzos, Brahms wrote intermezzos
Schumann wrote works for clarinet and piano, Brahms countered with 2 clarinet sonatas. (His clarinet quintet and clarinet trio was him imitating Mozart)
Schumann wrote 1 piano quintet, Brahms wrote 1 piano quintet.
I don't think the above is mere coincidence but I know something is up. Was Brahms trying to merely fulfill minimum duties as a composer instead of composing freely? He seems to have buffer his publishing numbers by padding them with songs. Heck I wouldn't mind him composing 2 more symphonies instead of the abundance of songs he wrote.