The story
From be- (prefix meaning ‘about; abundantly; all around; all over’) + grime (“to cake with dirt”).
Etymology from Wiktionary, CC BY-SA 4.0.
Today it means: To ingrain grime or dirt which is difficult to remove into (something); also (more generally), to make (something) dirty; to soil. Full definition →
From be- (prefix meaning ‘about; abundantly; all around; all over’) + grime (“to cake with dirt”).
Etymology from Wiktionary, CC BY-SA 4.0.