Look for these FD&C (Food, Drug & Cosmetic) artificial dyes* on ingredient labels: Note: This is the "currently approved" list because, unsettling enough, the approval status does change (see below for details).
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Speaking of artificial food dyes - 100 Days of Real Food
The HIDDEN TRUTH About Artificial FOOD DYES! 🍭😲🧁
Finding (and Avoiding) Artificial Food Dyes ⋆ 100 Days of Real Food
Finding (and Avoiding) Artificial Food Dyes ⋆ 100 Days of Real Food
5 Ways to Avoid Artificial Food Coloring