We have studied the φ → a0(980)γ process with the KLOE detector at the Frascati φ−factory DAΦNE by detecting the φ → ηπγ decays in the final states with η → γγ and η → πππ. We have measured the branching ratios for both final states: Br(φ → ηπγ) = (7.01 ± 0.10 ± 0.20) × 10 and (7.12 ± 0.13 ± 0.22) × 10 respectively. We have also extracted the a0(980) mass and its couplings to ηπ, KK, and to the φ meson from the fit of the ηπ invariant mass distributions using different phenomenological models.