We compute analytically greybody factors for asymptotically flat spherically symmetric black holes with stringy higher derivative corrections in d dimensions. This calculation includes both the eikonal limit — where the real part of the frequency of the scattered wave is much larger than the imaginary part — and the highly damped case — where the imaginary part of the frequency is much larger than the real part —, addressing gravitational perturbations and test scalar fields, and yielding full transmission and reflection scattering coefficients.