The CP-even static form factors ∆κ V and ∆QV (V = γ, Z) associated with the W W V vertex are studied in the context of the Georgi-Machacek model (GMM), which predicts nine new scalar bosons accommodated in a singlet, a triplet and a fiveplet. General expressions for the one-loop contributions to ∆κ V and ∆QV arising from neutral, singly and doubly charged scalar bosons are obtained in terms of both parametric integrals and Passarino-Veltman scalar functions, which can be numerically evaluated. It is found that the GMM yields 15 (28) distinct contributions to ∆κ γ and ∆Qγ (∆κ Z and ∆QZ ), though several of them are naturally suppressed. A numerical analysis is done in the region of parameter space still consistent with current experimental data and it is found that the largest contributions to ∆κ V arise from Feynman diagrams with two nondegenerate scalar bosons in the loop, with values of the order of a = g 2 /(96π 2 ) reached when there is a large splitting between the masses of these scalar bosons. As for ∆QV , it reaches values as large as 10 −2 a for the lightest allowed scalar bosons, but it decreases rapidly as one of the masses of the scalar bosons becomes large. Among the new contributions of the GMM to the ∆κ V and ∆QV form factors are those induced by the H ± 5 W ∓ Z vertex, which arises at the tree-level and is a unique prediction of this model.