Several authors have suggested that a link exists between the flux of galactic cosmic rays (GCR) and cloudiness. Here we review the evidence for such a connection from studies of cloud factors using both satellite and ground-based data. In particular, we search for evidence for the low cloud decrease predicted by the rising levels of solar activity and the low cloud-cosmic ray flux correlation indicated by satellite data. Sunshine and synoptic cloud records both indicate that the global total cloud cover has increased during the past century. This increase in total cloud cover argues against a dominating role by solar activity (via GCR) over cloud formation on centennial time scales. Either the predicted low cloud decrease has not occurred or the medium-high level cloud has increased to a greater extent than low cloud has decreased. As there is no accurate long term data available on low cloud behaviour during the last century, we are not able to totally dismiss the link between GCR and cloudiness, but we list a number of arguments for and against the proposed cosmic ray-cloud connection.