ΔE 28.8, loose: different enough that you should pick on purpose. Alizarin Green is noticeably darker, much more muted, cooler than Gauss Green.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 29). Alizarin Green is noticeably darker, much more muted, cooler than Gauss Green.
The same difference applies the other way round: Gauss Green is noticeably lighter, much more saturated, warmer.
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 Gauss Green on the colour wheel See Alizarin Green on the colour wheel
All matches: Gauss Green equivalents · Alizarin Green equivalents