This paper reviews turbomachinery noise from turbofan engines as typified by fan noise. The mechanisms and theories of fan noise are reviewed and concepts for its reduction, including acoustic suppression, are discussed. Correlations of the overall noise data from several full-scale fans tested at NASA Lewis Research Center are presented as indicative of the current state-of-the-art. Estimates are presented to show economics vs reduced noise for two quieted experimental engines, one with subsonic and one with supersonic fan-tip speed. Finally, some concepts that may have the potential to reduce fan noise are indicated.