Final answer:
The oldest college fraternity foundation is Phi Beta Kappa, established at the College of William & Mary in 1776, predating other Greek-letter organizations and social groups established in the 20th century for various communities.
Step-by-step explanation:
The oldest college fraternity foundation is Phi Beta Kappa, established on December 5, 1776, at the College of William & Mary in Williamsburg, Virginia. It was founded by five students during the American Revolutionary War. The foundation of Phi Beta Kappa marked the beginning of the Greek-letter organizations in North America, setting a precedent for the establishment of future fraternities and sororities. This historic timeline preceded other notable organizations, such as the African American fraternities and sororities established in the early 20th century, including Alpha Kappa Alpha Inc., the first Black women's intercollegiate Greek organization, founded at Howard University in 1908. Additionally, other social groups like the Veterans Benevolent Association and the Satyrs Motorcycle Club were established much later in the mid-20th century to address the needs of specific communities.