Factoring out the greatest common factor worksheets

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Find the greatest positive integer that divides both coefficients. Factor it out, then expand to check.

Just 7th grade. Print it here, or open the page for examples and teaching notes.

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  1. 7th grade Core grade

    Examples and teaching notes

    Each print is a different sheet with its own answer key. You don't need to sign up.

    Factoring writes a sum or difference as a product. On this sheet, students factor out the greatest positive integer common factor from a variable term and a constant. Each of the eight problems has a worked answer and an expansion check. Easier uses smaller numbers and mostly positive terms. On level mixes all four sign patterns. Harder uses more negative terms and GCFs smaller than the absolute value of either coefficient. Every harder sheet includes GCFs of 4 and 6, where taking out a smaller common factor leaves more work to do.

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