Core Factor (CF) is a conserved RNA polymerase (Pol) I general transcription factor comprising Rrn6, Rrn11 and the TFIIB-related subunit Rrn7. CF binds TATA-binding protein (TBP), Pol I and the regulatory factors Rrn3 and upstream activation factor. We used chemical cross-linking-MS to determine the molecular architecture of CF and its interactions with TBP. The CF subunits assemble through an interconnected network of interactions between five structural domains that are conserved in orthologous subunits of the human Pol I factor SL1. We validated the cross-linking-derived model through a series of genetic and biochemical assays. Our combined results show the architecture of CF and the functions of the CF subunits in assembly of the complex. We extend these findings to model how CF assembles into the Pol I preinitiation complex, providing new insight into the roles of CF, TBP and Rrn3.