Grade 6 Math · Greatest Common Factor
Build Grade 6 Math skills with five 10-question practice tests on factors, prime factorization, greatest common factor, algorithms, and equal-group problems.
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.
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.
1. Test
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.
Please select an answer first.
Correct answer: A
The correct answer is .
A factor divides a number evenly, and .
Please select an answer first.
Correct answer: B
The correct answer is .
The factor pairs of 18 are , , and , so the list is complete.
Please select an answer first.
Correct answer: C
The correct answer is .
Both and are whole numbers.
Please select an answer first.
Correct answer: D
The correct answer is .
The common factors include 1, 2, 4, and 8. The greatest is .
Please select an answer first.
Correct answer: A
The correct answer is Yes, because .
Since , 5 is a factor of 20.
Please select an answer first.
Correct answer: B
The correct answer is .
, so 5 and 6 form a factor pair.
Please select an answer first.
Correct answer: C
The correct answer is .
The factors of 15 are 1, 3, 5, 15 and the factors of 25 are 1, 5, 25. The common factors are 1 and 5.
Please select an answer first.
Correct answer: D
The correct answer is .
and , and no larger factor of 9 can be common.
Please select an answer first.
Correct answer: A
The correct answer is .
The factor pairs of 14 are and .
Please select an answer first.
Correct answer: B
The correct answer is .
Every number is a factor of itself, so the greatest positive factor of 21 is 21.
The page covers factors, factor pairs, common factors, prime factorization, the Euclidean algorithm, GCF versus LCM, fraction simplification, and equal-group applications.
The GCF helps simplify fractions and find the greatest number of equal groups or the greatest equal measurement that divides several quantities.
The page includes five mini tests with 10 questions each, for 50 Grade 6 Greatest Common Factor questions in total.
