Wegmans Food Markets | 118,758 followers on LinkedIn. Wegmans begins with We | Wegmans Food Markets is a family-owned regional supermarket chain and one of the largest private companies in the US. Recognized as an industry leader and innovator, the company was founded in 1916 and employs over 53,000 people. Wegmans has been named one of the “100 Best Companies to Work For” by FORTUNE magazine for 26 consecutive years, ranking #4 in 2023.