Factoring a Sum with the Greatest Common Factor - Use the greatest common factor to rewrite each sum

Sep 30, 2026

Upload by Fahsai

Factoring a Sum with the Greatest Common Factor worksheet provides 12 practice problems where each item is a two-term sum (such as 90 + 99 or 66 + 76). Students apply the greatest common factor to rewrite each sum in factored form, filling in blanks for the common factor and the remaining binomial. An answer key section supplies the completed factorizations, enabling checking of results and mastery of distributive factoring by the GCF.

LanguageEnglish

CategoryExam

FormatPDF

Pages3

Reading Time8 min

AccessFree to download

Practice Problems

Rewrite using the GCF

Answer Key

Factored Forms

Factoring a Sum with the Greatest Common Factor Name: | Use the greatest common factor to rewrite each sum.
1) 90 + 99 = ( + )
2) 66 + 76 = ( + )
3) 96 + 76 = ( + )
4) 24 + 60 = ( + )
5) 77 + 84 = ( + )
6) 42 + 12 = ( + )
7) 18 + 87 = ( + )
8) 35 + 80 = ( + )
9) 30 + 10 = ( + )
10) 88 + 48 = ( + )
11) 99 + 55 = ( + )
12) 70 + 60 = ( + ) | | | | | | | Answers
1.
2.
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12. | | | | | | | | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | |
Math | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 7 | 1-10
11-12 | 92 | 83 | 75 | | 67 | 58 | 50 | 42 | 33 | 25 | 17 | | | | | | 8 | 0 | | | | | | | | | | Factoring a Sum with the Greatest Common Factor Name: Answer Key | Use the greatest common factor to rewrite each sum.
1) 90 + 99 = ( + ) | | | | | | | | Answers
1. 9(10 + 11) | | | | | | | | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | 2) | 66 + 76 = | _____ ( _____ + _____ ) | | | | | | 2. 2(33 + 38)
3. 4(24 + 19) | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 3) | 96 + 76 = | _____ ( _____ + _____ ) | | | | | | 4. 12(2 + 5) | | | | | | | | | | | | | | | | | | | | | | | | | | 4) | 24 + 60 = | _____ ( _____ + _____ ) | | | | | | 5. 7(11 + 12)
6. 6(7 + 2) | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 5) | 77 + 84 = | _____ ( _____ + _____ ) | | | | | | 7. 3(6 + 29)
8. 5(7 + 16) | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 6) | 42 + 12 = | _____ ( _____ + _____ ) | | | | | | 9. 10(3 + 1) | | | | | | | | | | | | | | | | | | | | | | | | | | 7) | 18 + 87 = | _____ ( _____ + _____ ) | | | | | | 10. 8(11 + 6)
11. 11(9 + 5) | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 8) | 35 + 80 = | _____ ( _____ + _____ ) | | | | | | 12. 10(7 + 6) | | | | | | | | | | | | | | | | | | | | | | | | | | 9) | 30 + 10 = | _____ ( _____ + _____ ) | | | | | | | | | | | | | | | 10) | 88 + 48 = | _____ ( _____ + _____ ) | | | | | | | | | | | | | | | 11) | 99 + 55 = | _____ ( _____ + _____ ) | | | | | | | | | | | | | | | 12) | 70 + 60 = | _____ ( _____ + _____ ) | | | | | | | | | | | | | | | | Math | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 7 | 1-10
11-12 | 92 | 83 | 75 | | 67 | 58 | 50 | 42 | 33 | 25 | 17 | | | | | | | 8 | 0 | | | | | | | | | | Factoring a Sum with the Greatest Common Factor Name: | Use the greatest common factor to rewrite each sum.
1) 90 + 99 = ( + ) | | | | Answers
1. | | | | | | | | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | 2) | 66 + 76 = ( + ) | | | 2.
3. | | | | | | | | | 3) | 96 + 76 = ( + ) | | | 4.
5.
6. | | | | | | | | | 4) | 24 + 60 = ( + ) | | | 7.
8. | | | | | | | | | 5) | 77 + 84 = ( + ) | | | 9. | | | | | | | | | 6) | 42 + 12 = ( + ) | | | | | | | | | | | | 7) | 18 + 87 = ( + ) | | | | | | | | | | | | 8) | 35 + 80 = ( + ) | | | | | | | | | | | | 9) | 30 + 10 = ( + ) | | | | | | | | | | | | 1-9 | | 89 | 78 | | 67 | 56 | 44 | 33 | 22 | 11 | 0 | Math Modified [www.CommonCoreSheets.com](www.CommonCoreSheets.com) 7

FAQs

What does the worksheet ask you to do for each problem?

Use the greatest common factor to rewrite each two-term sum in factored form, filling in the common factor and the new binomial inside parentheses.

How do you use the greatest common factor in the rewriting process?

Identify the largest factor common to both addends, then factor it out so the sum becomes (GCF)(remaining sum).

Is there an answer key included?

Yes. The document includes an “Answer Key” section showing the completed factorizations for the listed sums.

Sep 30, 2026

Upload by Fahsai