EIGRP and OSPF are routing protocols. EIGRP uses the DUAL algorithm and metric to select fast, loop-free routes. It supports multiple network layers and rapid convergence. OSPF is an open standard link-state protocol that provides a common network view and calculates the shortest path. It can route between autonomous systems and uses link state updates and SPF algorithm. Configuring OSPF involves assigning networks to areas and defining the routing process. Verification includes checking neighbors, routes, and topology tables.