The story
From god + -less. Compare Saterland Frisian godloos (“godless”), West Frisian goddeleas (“godless; wicked”), Dutch goddeloos (“godless; wicked”), German Low German gottlos (“godless”), German gottlos (“godless”), Danish gudløse (“godless”), Swedish gudlös (“godless; ungodly”), Icelandic guðlaus (“godless”), Gothic 𐌲𐌿𐌳𐌰𐌻𐌰𐌿𐍃 (gudalaus, “godless”).
Etymology from Wiktionary, CC BY-SA 4.0.