Greatest Common Factor and Least Common Multiple: Grade 6 Math Quiz – PDF Download
This 10-question multiple-choice quiz checks factor and multiple skills from Common Core 6.NS.B.4. Choose one answer for each question. The explanation after each question shows the correct method and the common mix-up between GCF and LCM.
Grade 6Common Core: 6.NS.B.4
🎯 Greatest Common Factor and Least Common Multiple – Grade 6 math quiz
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Question 1
What is the greatest common factor of 24 and 36?
A6
B24
C12
D72
Question 2
What is the least common multiple of 6 and 9?
A18
B3
C36
D54
Question 3
What is the prime factorization of 72?
A\(2^3 \times 3^2\)
B\(2^2 \times 3^3\)
C\(2^3 \times 9\)
D\(3 \times 24\)
Question 4
Which number is prime?
A27
B29
C33
D39
Question 5
Which expression writes \(28 + 42\) as a product using the greatest common factor?The two parts of the sum.
A\(7(4 + 6)\)
B\(2(14 + 21)\)
C\(4(7 + 10)\)
D\(14(2 + 3)\)
Question 6
Ethan has 30 pencils and 45 erasers. He makes identical kits with nothing left over. What is the greatest number of kits?Items to split into kits.
A5
B3
C15
D90
Question 7
Two timers beep every 6 minutes and every 8 minutes. They beep together now. In how many minutes will they next beep together?Two beeping cycles.
A48
B24
C14
D12
Question 8
What is the greatest common factor of 40 and 100?
A10
B200
C4
D20
Question 9
How many factors does 20 have?
A5
B6
C4
D10
Question 10
What is the least common multiple of 7 and 11?
A77
B18
C1
D11
🎉 Quiz complete!
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Remember:
A prime number has exactly two factors: 1 and itself.
GCF: multiply the prime factors that both numbers share.
LCM: list multiples of the larger number until the smaller number divides one.
Use the GCF to split items into equal groups; use the LCM for repeating cycles.
A sum can be factored with the GCF: \(36 + 8 = 4(9 + 2)\).
