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Aims. Optically thin plasmas may deviate from thermal equilibrium and thus,electrons (and ions) are no longer described by the Maxwellian distribution.Instead they can be described by $\kappa$-distributions. The free-free spectrumand radiative losses depend on the temperature-averaged (over the electronsdistribution) and total Gaunt factors, respectively. Thus, there is a need tocalculate and make available these factors to be used by any software thatdeals with plasma emission.  Methods. We recalculated the free-free Gaunt factor for a wide range ofenergies and frequencies using hypergeometric functions of complex argumentsand the Clenshaw recurrence formula technique combined with approximationswhenever the difference between the initial and final electron energies issmaller than $10^{-10}$ in units of $z^2Ry$. We used double and quadrupleprecisions. The temperature- averaged and total Gaunt factors calculations makeuse of the Gauss-Laguerre integration with 128 nodes.  Results. The temperature-averaged and total Gaunt factors depend on the$\kappa$ parameter, which shows increasing deviations (with respect to theresults obtained with the use of the Maxwellian distribution) with decreasing$\kappa$. Tables of these Gaunt factors are provided.

Temperature-averaged and total free-free Gaunt factors for $\kappa$ and Maxwellian distributions of electrons