Final answer:
The unique protein that binds to oriC in prokaryotes and cannot rebind is analogous to the Licensing Factor in eukaryotes and is represented by the protein FtsZ in prokaryotes.
Step-by-step explanation:
The unique protein that binds to oriC in prokaryotes and cannot rebind is called the Licensing Factor in eukaryotes. In prokaryotes, the Licensing Factor is analogous to the protein FtsZ, which is involved in cell division. FtsZ proteins migrate towards the midpoint of the cell and initiate cell elongation.