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The Child Tax Credit of $4,000 is based on the 1040 line 12b (tax liability), not earned income.    If the savers credit was taken then that could reduce the $4,000 somewhat (schedule 3 line 4 is subtracted form 12b) which could make the tax liability less then $4,000 which would limit the amount of CTC, but would then qualify for a small amount of ACTC in addition to the CTC.

**Disclaimer: This post is for discussion purposes only and is NOT tax advice. The author takes no responsibility for the accuracy of any information in this post.**