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- Factors
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- Prime Factorization
- Greatest Common Factor of 2 Numbers
- Greatest Common Factor of 3 Numbers
- Introduction to Distributive Property
- Understanding the Distributive Property
- Introduction to Factoring With Numbers
- Factoring a Sum or Difference of Whole Numbers
- Least Common Multiple of 2 Numbers
- Least Common Multiple of 3 Numbers
- Word Problem Involving the Least Common Multiple of 2 Numbers
Greatest Common Factor of 2 Numbers Online Quiz
Following quiz provides Multiple Choice Questions (MCQs) related to Greatest Common Factor of 2 Numbers. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.
Answer : A
Explanation
Step 1:
The prime factorization of 12 is
12 = 2 × 2 × 3
The prime factorization of 21 is
21 = 3 × 7
Step 2:
The greatest common factor of 12 and 21 is therefore 3.
Answer : B
Explanation
Step 1:
The prime factorization of 15 is
15 = 3 × 5
The prime factorization of 24 is
24 = 2 × 2 × 2 × 3
Step 2:
The greatest common factor of 15 and 24 is therefore 3.
Answer : C
Explanation
Step 1:
The prime factorization of 52 is
52 = 2 × 2 × 13
The prime factorization of 130 is
130 = 2 × 5 × 13
Step 2:
The greatest common factor of 52 and 130 is therefore = 2 × 13 = 26.
Answer : B
Explanation
Step 1:
The prime factorization of 85 is
85 = 5 × 17
The prime factorization of 136 is
136 = 2 × 2 × 2 × 17
Step 2:
The greatest common factor of 85 and 136 is therefore 17.
Answer : D
Explanation
Step 1:
The prime factorization of 64 is
64 = 2 × 2 × 2 × 2 × 2 × 2
The prime factorization of 120 is
120 = 2 × 2 × 2 × 3 × 5
Step 2:
The greatest common factor of 64 and 120 is therefore 8.
Answer : A
Explanation
Step 1:
The prime factorization of 56 is
56 = 2 × 2 × 2 × 7
The prime factorization of 72 is
72 = 2 × 2 × 2 × 3 × 3
Step 2:
The greatest common factor of 56 and 72 is therefore 8.
Answer : C
Explanation
Step 1:
The prime factorization of 65 is
65 = 5 × 13
The prime factorization of 117 is
117 = 3 × 3 × 13
Step 2:
The greatest common factor of 65 and 117 is therefore 13.
Answer : D
Explanation
Step 1:
The prime factorization of 81 is
81 = 3 × 3 × 3 × 3
The prime factorization of 216 is
216 = 2 × 2 × 2 × 3 × 3 × 3
Step 2:
The greatest common factor of 81 and 216 is therefore 27.
Answer : B
Explanation
Step 1:
The prime factorization of 75 is
75 = 3 × 5 × 5
The prime factorization of 180 is
180 = 2 × 2 × 3 × 3 × 5
Step 2:
The greatest common factor of 75 and 180 is therefore 15.
Answer : A
Explanation
Step 1:
The prime factorization of 36 is
36 = 2 × 2 × 3 × 3
The prime factorization of 150 is
150 = 2 × 3 × 5 × 5
Step 2:
The greatest common factor of 36 and 150 is therefore 6.