My girlfriend and daughter are on Medicaid and live with me. Who would benefit more from claiming our daughter?

My girlfriend and daughter are on Medicaid and live with me. Who would benefit more from claiming our daughter?

I'm wondering if the Earned Income Tax Credit would provide a more substantial tax break for my girlfriend and a higher monetary return than it would If I were to claim my daughter. I make about $80k/year and pay daycare expenses, $7200/yr. My girlfriend makes just under the Medicaid threshold for a single parent, $22,932.

Which scenario would provide us the biggest tax break/return?

Thanks!