ΔE 16.1, loose: different enough that you should pick on purpose. Prussian Blue Hue is noticeably darker, more muted than Gothic Blue.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 16). Prussian Blue Hue is noticeably darker, more muted than Gothic Blue.
The same difference applies the other way round: Gothic Blue is noticeably lighter, more saturated.
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 Gothic Blue on the colour wheel See Prussian Blue Hue on the colour wheel
All matches: Gothic Blue equivalents · Prussian Blue Hue equivalents