The correlation between general intelligence (g), a general factor of personality (GFP), and social desirability was examined in a sample of 507 siblings. Each sibling within a pair was examined separately, creating two groups. Individuals had completed an omnibus personality inventory measuring 20 personality traits as well as a timed, group administered intelligence test. Factor analyses on the personality measure resulted in five factors which were then reduced to either two or three factors and finally to one factor, the GFP. The correlations between the GFPs and g were found to be significant, suggesting that a general factor of personality is not independent with intelligence. The GFP was also found to correlate significantly with social desirability although social desirability did not correlate significantly with g.