We study the scaling behavior of M-furcation (M=2, 3, 4,...) sequences of M^n-period (n=1,2,...) orbits in two coupled one-dimensional (1D) maps. Using a renormalization method, how the scaling behavior depends on M is particularly investigated in the zero-coupling case in which the two 1D maps become uncoupled. The zero-coupling fixed map of the M-furcation renormalization transformation is found to have three relevant eigenvalues δ, α, and M (δ and α are the parameter and orbital scaling

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... rs of 1D maps, respectively). Here the second and third ones, α and M, called the "coupling eigenvalues", govern the scaling behavior associated with coupling, while the first one δ governs the scaling behavior of the nonlinearity parameter like the case of 1D maps. The renormalization results are also confirmed by a direct numerical method.