Greatest Common Factor and Least Common Multiple Quiz – Grade 6 (10 Questions)

Last updated: October 22, 2026 · Written by the Math Made Easy math teachers

Standards: 6.NS.B.4 · Level: Grade 6

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What this Factors, Multiples and Common Ones: GCF and LCM quiz checks

• A prime number has exactly two factors: 1 and itself.
• GCF = product of the primes the numbers share.
• LCM = the first multiple that appears in both lists.
• The GCF of two numbers is at most the smaller number; the LCM is at least the larger.
• A sum a + b can be written as GCF × (a ÷ GCF + b ÷ GCF).

The 10 questions of the quiz

1. What is the greatest common factor of 30 and 45?
2. What is the least common multiple of 6 and 10?
3. Which number is prime?
4. Pick the choice that writes 75 as a product of primes only.
5. Which shows 36 + 48 factored with the GCF?
6. Mia has 18 red beads and 27 blue beads. What is the greatest number of identical bracelets she can make using every bead?
7. One light blinks every 7 seconds and another every 4 seconds. After how many seconds do they first blink together again?
8. Which prime factorization does the tree show?
9. Read the diagram: what is the LCM of 8 and 12?
10. Which pair of numbers has a GCF of 1?

After the quiz

Missed a question? Reread the Factors, Multiples and Common Ones: GCF and LCM lesson, then take the quiz again. Next, solve the Grade 6 worksheet on Factors, Multiples and Common Ones: GCF and LCM, one star first, then two and three stars. Finally, take the chapter test under real conditions, without notes and with a timer.

Mis à jour le 22 October 2026