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Distributive Property-Greatest Common Factor Card Game

Matching card game where groups of two or three trade cards to pair each sum, such as 35 + 55, with its greatest common factor form, 5(7 + 11).
Grades
Grade 6, Middle School
File type
PDF
Preparation
Print ready

Updated Oct 26, 2026

Subject
Algebra
Topic
greatest common factor, distributive property
Resource types
Activities, Games, Worksheets
Preparation
Print ready
Standards
6. NS.B.4

About this resource

What's inside this resource

This resource is a card game for students to practice using the greatest common factor to write a distributive property expression. Included in this resource are 24 cards in PDF format. That is 6 on each page.

Game Directions for this Distributive Property-Greatest Common Factor Card Game:

  • Students should play 2 or 3 to a group.

  • Shuffle the cards and then pass out all cards.

  • Each person should look at his/her own cards and match a factored form to a sum. Don’t let your opponents see your cards.

  • After confirming that your matches are correct with your opponents, place them to the side. Use two books to prop up your cards so that you can see them but your opponents can’t.

  • Taking turns, draw a card from the opponent to your right. If it matches one of your cards then put that match aside.

  • Continue until all cards are matched. The winner is the person with the most matches.

This Distributive Property-Greatest Common Factor Card Game game allows students to practice the Common Core Standard: CCSS.MATH.CONTENT.6.NS.B.4
Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1-100 with a common factor as a multiple of a sum of two whole numbers with no common factor. For example, express 36 + 8 as 4 (9 + 2).

This Distributive Property-Greatest Common Factor Card Game was designed for students in 6th grade. However, any group of student who needs to review this topic would benefit from playing this game!

This resource comes in a PDF with simple directions ready to print!

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Rewrite a sum of two whole numbers as a product using the greatest common factor and the distributive property
  • Recognize equivalent sum and factored expressions

Skills covered

  • Factoring with the GCF — matching each sum card to its factored card

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Curriculum

Standards, concepts & topics

Standards

  • 6. NS.B.4 — Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor. For example, express 36 + 8 as 4 (9 + 2).

Core concepts

  • Greatest common factor
  • Distributive property
  • Equivalent expressions

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