ΔE 7.8, close: similar, with a visible difference side by side. Dirty Grey is a little darker, more saturated than Putrid White.
Usually, if you are not matching paint already on the model. Close match (ΔE 8). Dirty Grey is a little darker, more saturated than Putrid White.
The same difference applies the other way round: Putrid White is a little lighter, more muted.
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 Putrid White on the colour wheel See Dirty Grey on the colour wheel
All matches: Putrid White equivalents · Dirty Grey equivalents