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Grade 6 Math · Greatest Common Factor

Grade 6 Greatest Common Factor Practice Test

Build Grade 6 Math skills with five 10-question practice tests on factors, prime factorization, greatest common factor, algorithms, and equal-group problems.

Greatest Common Factor Practice Tests

These Grade 6 Math practice tests help students identify the greatest positive factor shared by two or more numbers. Students practice factor pairs, common factors, prime factorization, the Euclidean algorithm, fraction simplification, and equal-group problems involving classroom materials, supplies, teams, and packages.

Skills covered

  • Listing factors and factor pairs
  • Identifying common factors and the greatest common factor
  • Using prime factorization to find the GCF
  • Applying the Euclidean algorithm and checking results
  • Distinguishing factors from multiples and GCF from LCM
  • Simplifying fractions and grouping objects evenly
  • Interpreting GCF in real-world packaging, teams, rows, and equal sets

How to use these practice tests

Start by listing factor pairs or writing each number as a product of primes. Keep only the prime factors shared by all numbers, use the smallest shared exponents, and multiply them. For word problems, explain how the GCF determines the greatest number of equal groups or the greatest equal section size.

For more Grade 6 Math practice, return to the Grade 6 Math category.

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4. Test

Grade 6 Greatest Common Factor Practice Tests

A 10-question Grade 6 Math practice test on factors, common factors, prime factorization, greatest common factor, algorithms, and equal-group applications.

List factors or use prime factorization, identify the factors shared by the numbers, and select the greatest common factor.

10 Questions
0/10 Questions0 %
Correct 0
Incorrect 0
Unanswered 10
1. QuestionMultiple choice

A teacher has 24 red tiles and 36 blue tiles. What is the greatest number of identical groups that can be made?

Please select an answer first.

Correct answer: A

The correct answer is 1212.

  1. List the factors: Find the positive factors of each number or use prime factorization.
  2. Identify the common factors: The number of equal groups must divide both amounts. GCF(24,36)=12GCF(24,36) = 12, so 12 groups can be made.
  3. Choose the greatest one: The greatest common factor must divide both numbers and be at least as large as every other common factor.

The number of equal groups must divide both amounts. GCF(24,36)=12GCF(24,36) = 12, so 12 groups can be made.

2. QuestionMultiple choice

There are 18 granola bars and 30 fruit cups. What is the greatest number of identical snack bags?

Please select an answer first.

Correct answer: B

The correct answer is 66.

  1. List the factors: Find the positive factors of each number or use prime factorization.
  2. Identify the common factors: GCF(18,30)=6GCF(18,30) = 6, so 6 identical bags can be made.
  3. Choose the greatest one: The greatest common factor must divide both numbers and be at least as large as every other common factor.

GCF(18,30)=6GCF(18,30) = 6, so 6 identical bags can be made.

3. QuestionMultiple choice

A ribbon roll has 48 inches of one color and 60 inches of another. What is the greatest length for equal sections of both colors?

Please select an answer first.

Correct answer: C

The correct answer is 1212 inches.

  1. List the factors: Find the positive factors of each number or use prime factorization.
  2. Identify the common factors: The equal section length must divide both measurements: GCF(48,60)=12GCF(48,60) = 12 inches.
  3. Choose the greatest one: The greatest common factor must divide both numbers and be at least as large as every other common factor.

The equal section length must divide both measurements: GCF(48,60)=12GCF(48,60) = 12 inches.

4. QuestionMultiple choice

A club has 42 cards and 56 stickers. What is the greatest number of identical sets?

Please select an answer first.

Correct answer: D

The correct answer is 1414.

  1. List the factors: Find the positive factors of each number or use prime factorization.
  2. Identify the common factors: GCF(42,56)=14GCF(42,56) = 14, so 14 identical sets are possible.
  3. Choose the greatest one: The greatest common factor must divide both numbers and be at least as large as every other common factor.

GCF(42,56)=14GCF(42,56) = 14, so 14 identical sets are possible.

5. QuestionMultiple choice

A school has 45 sixth graders and 75 seventh graders. What is the greatest number of equal teams with the same numbers from each grade?

Please select an answer first.

Correct answer: A

The correct answer is 1515.

  1. List the factors: Find the positive factors of each number or use prime factorization.
  2. Identify the common factors: GCF(45,75)=15GCF(45,75) = 15, so 15 equal teams can be formed.
  3. Choose the greatest one: The greatest common factor must divide both numbers and be at least as large as every other common factor.

GCF(45,75)=15GCF(45,75) = 15, so 15 equal teams can be formed.

6. QuestionMultiple choice

A square tile design uses 32 dark tiles and 40 light tiles in equal rows. What is the greatest number of equal rows?

Please select an answer first.

Correct answer: B

The correct answer is 88.

  1. List the factors: Find the positive factors of each number or use prime factorization.
  2. Identify the common factors: The number of rows must divide both counts. GCF(32,40)=8GCF(32,40) = 8.
  3. Choose the greatest one: The greatest common factor must divide both numbers and be at least as large as every other common factor.

The number of rows must divide both counts. GCF(32,40)=8GCF(32,40) = 8.

7. QuestionMultiple choice

A camp has 54 water bottles and 72 juice boxes. What is the greatest number of identical supply groups?

Please select an answer first.

Correct answer: C

The correct answer is 1818.

  1. List the factors: Find the positive factors of each number or use prime factorization.
  2. Identify the common factors: GCF(54,72)=18GCF(54,72) = 18, so 18 identical groups can be made.
  3. Choose the greatest one: The greatest common factor must divide both numbers and be at least as large as every other common factor.

GCF(54,72)=18GCF(54,72) = 18, so 18 identical groups can be made.

8. QuestionMultiple choice

A coach has 28 cones and 42 balls. What is the greatest number of identical equipment kits?

Please select an answer first.

Correct answer: D

The correct answer is 1414.

  1. List the factors: Find the positive factors of each number or use prime factorization.
  2. Identify the common factors: GCF(28,42)=14GCF(28,42) = 14, so 14 identical kits are possible.
  3. Choose the greatest one: The greatest common factor must divide both numbers and be at least as large as every other common factor.

GCF(28,42)=14GCF(28,42) = 14, so 14 identical kits are possible.

9. QuestionMultiple choice

A bakery has 36 blueberry muffins and 48 chocolate muffins. What is the greatest number of identical display trays?

Please select an answer first.

Correct answer: A

The correct answer is 1212.

  1. List the factors: Find the positive factors of each number or use prime factorization.
  2. Identify the common factors: GCF(36,48)=12GCF(36,48) = 12, so the muffins can be arranged on 12 identical trays.
  3. Choose the greatest one: The greatest common factor must divide both numbers and be at least as large as every other common factor.

GCF(36,48)=12GCF(36,48) = 12, so the muffins can be arranged on 12 identical trays.

10. QuestionMultiple choice

A library has 60 fiction books and 84 nonfiction books. What is the greatest number of identical boxes?

Please select an answer first.

Correct answer: B

The correct answer is 1212.

  1. List the factors: Find the positive factors of each number or use prime factorization.
  2. Identify the common factors: GCF(60,84)=12GCF(60,84) = 12, so 12 identical boxes can be filled.
  3. Choose the greatest one: The greatest common factor must divide both numbers and be at least as large as every other common factor.

GCF(60,84)=12GCF(60,84) = 12, so 12 identical boxes can be filled.

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Frequently asked questions about Grade 6 Greatest Common Factor

What topics are covered?

The page covers factors, factor pairs, common factors, prime factorization, the Euclidean algorithm, GCF versus LCM, fraction simplification, and equal-group applications.

When is the GCF useful?

The GCF helps simplify fractions and find the greatest number of equal groups or the greatest equal measurement that divides several quantities.

How many questions are on this page?

The page includes five mini tests with 10 questions each, for 50 Grade 6 Greatest Common Factor questions in total.