ΔE 15.0, loose: different enough that you should pick on purpose. Gorthor Brown is a little darker, more muted, warmer than Mahogany Brown.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 15). Gorthor Brown is a little darker, more muted, warmer than Mahogany Brown.
The same difference applies the other way round: Mahogany Brown is a little lighter, more saturated, cooler.
ΔE is the colour difference between our two swatch estimates: under about 6 is close, over about 15 is loose. Real paints also differ in finish, coverage and how they thin, so test before you commit.
See Mahogany Brown on the colour wheel See Gorthor Brown on the colour wheel
All matches: Mahogany Brown equivalents · Gorthor Brown equivalents