The binuclear cyclopentadienylcobalt carbonyls Cp2Co2(CO)n (n = 3, 2, 1; Cp = eta5-C5H5) are studied by density functional theory using the B3LYP and BP86 functionals. The experimentally known monobridged isomer Cp2Co2(CO)2(mu-CO) and the tribridged isomer Cp2Co2(mu-CO)3 of Cp2Co2(CO)3 with formal Co-Co single bonds are found to be similar in energy, with the precise relative energies of the two isomers depending on the functional chosen. For Cp2Co2(CO)2, the experimentally known coaxial isomer Cp2Co2(mu-CO)2 with two bridging CO groups and a formal Co=Co double bond (2.360 angstroms by B3LYP or 2.346 angstroms by BP86) is found to lie 38.2 (B3LYP) or 34.9 kcal/mol (BP86) below a perpendicular isomer perpendicular-Cp2Co2(CO)2. Similarly, for Cp2Co2(CO), the coaxial isomer Cp2Co2(mu-CO) with one bridging CO group and a formal CoCo triple bond (2.021 angstroms by B3LYP or 2.050 angstroms by BP86) is found to lie 9.36 (B3LYP) or 9.62 kcal/mol (BP86) below the corresponding perpendicular isomer perpendicular-Cp2Co2(CO). This coaxial isomer Cp2Co2(mu-CO) is a possible intermediate in the known pyrolysis of the trimer (eta5-C5H5)3Co3(mu-CO)3 to give the tetranuclear complex (eta5-C5H5)4Co4(mu3-CO)2. These optimized Cp2Co2(CO)n (n = 3, 2, 1) structures can be compared with the corresponding Fe2(CO)6+n structures since the CpCo and Fe(CO)3 groups are isolobal. In general, the metal-metal bonds are 0.09-0.22 angstroms shorter for the Cp2Co2(CO)n (n = 3, 2, 1) complexes than for the corresponding Fe2(CO)6+n complexes. For Fe2(CO)9, the experimentally well-known Fe2(CO)6(mu-CO)3 isomer is shown to be very close in energy to the unknown Fe2(CO)8(mu-CO) isomer, with the precise relative energies depending on the basis set used.