Radiochromic films are commonly used in radiation therapy dosimetry and quality assurance. However, their spectral response is studied only for a limited set of beam qualities used in radiation therapy. In this work, we investigate the spectral response of the EBT3 radiochromic films for a broad range of megavoltage photon and electron radiation beam qualities. Dose, dose rate, and inter-batch dependencies are investigated. For beam qualities studied in this work, we found that for a given batch, the spectral response of the EBT-3 radiochromic films is beam quality and dose-rate independent. However, the spectral response of the films is batch-dependent.