The massive casualties and huge economic losses have been caused by various construction safety accidents. Enterprises are main undertakers for safety incident costs. They are facing with huge economic risks. In order to manage this kind of risk, it is essential to study the key factors leading to safety costs in construction enterprises. The result is seriously affected by interference information in Classical Factor Analysis. To deal with this problem, a Fuzzy Factor Analysis Model (FFAM) is proposed in this research. By using the FFAM, effects of interference information can be greatly reduced, and the result will be more accurate by iterative computation in FFAM. In this paper, 8 common factors, among the 26 factors affecting the safety cost of construction enterprises, are obtained by using the FFAM developed. The findings demonstrate that the proposed FFAM can not only facilitate the objective of safety cost management, but also improve the efficiency of activities for safety cost management.