Factors & Multiples – GCF & LCM
In this assessment, you will encounter a number of different questions that will assess both your understanding of mathematics and your ability to reason quantitatively.
Instructions
(Click to Read)
Do not use a calculator in this assessment. You shouldn’t need one to answer these questions, and the extra practice with arithmetic (long division, multidigit multiplication, etc.) will just make you a better math student!
Once you input your answer, click on “Check” to see immediate feedback about the question, including an explanation. You can also skip the question and come back to it later.
You may encounter different types of questions:
 Multiple Choice
 You will see several answer choices, but only one will be correct.
 Select the correct answer choice.
 FreeResponse (OpenEnded)
 You will not see any answer choices, and only one answer is correct.
 Type your answer into the space provided.
 For fractions, input your answer as “#/#” without the quotation marks, replacing the # with numbers. For example:
 to input an answer of \(\frac{1}{2}\), type “1/2” without the quotation marks.
 For decimals less than 1, input your answer with a leading zero. For example:
 to input an answer of \(0.5\), type “0.5” without the quotation marks.
 For whole numbers, just type the number into the space provided. For example:
 to input an answer of \(5\), type “5” without quotation marks.
 ChecktheBox
 You will see several answer choices, but one or more may be correct.
 Select all correct answer choices.
Tips
(Click to Read)
 These aren’t basic math questions – they’re tricky! Read closely and make sure you know what’s being asked.
 Do calculations on paper with a pencil. You don’t get extra credit for answering in your head!
Assessment Summary
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 Review

Question 1 of 20
1. Question
What is the Greatest Common Factor (GCF) of \(36\) and \(90\)?
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Question 2 of 20
2. Question
What is the Greatest Common Factor (GCF) of \(144\) and \(112\)?
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Question 3 of 20
3. Question
What is the Greatest Common Factor (GCF) of \(27\) and \(45\)?
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Question 4 of 20
4. Question
What is the Greatest Common Factor (GCF) of \(63\) and \(81\)?
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Question 5 of 20
5. Question
What is the Greatest Common Factor (GCF) of \(80\), \(16\) and \(96\)?
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Question 6 of 20
6. Question
What is the Greatest Common Factor (GCF) of \(22\), \(66\) and \(77\)?
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Question 7 of 20
7. Question
What is the Greatest Common Factor (GCF) of \(25\), \(50\) and \(80\)?
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Question 8 of 20
8. Question
Amelia is planting roses and tulips in her garden. She has \(66\) roses and \(121\) tulips. If she wants to arrange them into an equal number of rows. If each row must have the same number of tulips and the same number of roses, what is the greatest number of rows that can be arranged?
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Question 9 of 20
9. Question
What is the greatest common factor (GCF) of \(9x^2\) and \(3x^8\)?
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Question 10 of 20
10. Question
What is the greatest common factor (GCF) of \(27x^2y^5\) and \(81x^5y^2\)?
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Question 11 of 20
11. Question
What is the lowest common multiple (LCM) of \(18\) and \(27\)?
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Question 12 of 20
12. Question
What is the lowest common multiple (LCM) of \(36\) and \(96\)?
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Question 13 of 20
13. Question
What is the lowest common multiple (LCM) of \(9\) and \(45\)?
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Question 14 of 20
14. Question
What is the lowest common multiple (LCM) of \(7\), \(14\) and \(21\)?
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Question 15 of 20
15. Question
What is the lowest common multiple (LCM) of \(8\), \(14\), and \(19\)?
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Question 16 of 20
16. Question
If \(a\), \(b\) and \(c\) are prime numbers, what is the lowest common multiple (LCM) of \(2abc\), \(4a^3b^3c^3\) and \(8a^2b^2c^2\)?
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Question 17 of 20
17. Question
If \(x\), \(y\) and \(z\) are prime numbers, what is the lowest common multiple (LCM) of \(4x^2yz\) and \(6xy^2z\)?
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Question 18 of 20
18. Question
A male cuckoo bird makes cuckoo sounds every \(60\) minutes. A female cuckoo bird makes sounds every \(24\) minutes. If they both make cuckoo sounds at 11am, what is the next time they will both make cuckoo sounds?
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Question 19 of 20
19. Question
Bri volunteers at an animal shelter every \(8\) days. Every other week, she volunteers at a homeless shelter. If she works at both shelters today, how many days from now will she again work at both shelters in the same day?
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Question 20 of 20
20. Question
Using the information given, compare the quantity in Column A to the quantity in Column B.
If \(x\), \(y\) and \(z\) are prime numbers.
Column A LCM of \(3x^2y^2z\) and \(4xy^2z\)
Column B LCM of \(4x^2y^2z\) and \(6x^2y^2z\)
CorrectIncorrect