Your grandchildren would be considered qualifying relatives. " .... A relative related by blood, legal adoption, or marriage other than a parent (child, sibling, grandparent, nephew, aunt, step-parent, in-law, etc.) AND lived with you for more than half the year AND that you're able to claim as a dependent (even if you're not claiming them as such)." Ref: What is a "qualifying person" for Head of Household?
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