I am not sure if all baking powders are gluten free but there
are gluten free baking powders. In my shop we make gluten free
products and we use Clabber Girl.
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All baking soda is gluten free, gluten is only found in
flour.
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I checked with a baking soda vendor and they explained that all
baking soda is naturally gluten free. It is baking powder (which
uses baking soda) that may contain gluten. You need to check with
the manufacturer.