Math Practice Problems - Greatest Common Factor

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Greatest Common Factor - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

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Complexity=12

Find the greatest common factor of each pair of numbers.

Complexity=20

Find the greatest common factor of each pair of numbers.

Complexity=30

Find the greatest common factor of each pair of numbers.

Complexity=40

Find the greatest common factor of each pair of numbers.

Complexity=50

Find the greatest common factor of each pair of numbers.

Complexity=80

Find the greatest common factor of each pair of numbers.

Complexity=150

Find the greatest common factor of each pair of numbers.

Answers

Complexity=8

Find the greatest common factor of each pair of numbers.

#	Problem	Correct Answer	Your Answer
1	6, 8
Solution 8 - 6 = 2. Does 2 divide evenly into 6? Yes. Therefore 2 is the GCF. Factors of 6: 1, 2, 3, 6 Factors of 8: 1, 2, 4, 8

#	Problem	Correct Answer	Your Answer
2	4, 6
Solution 6 - 4 = 2. Does 2 divide evenly into 4? Yes. Therefore 2 is the GCF. Factors of 4: 1, 2, 4 Factors of 6: 1, 2, 3, 6

Complexity=12

Find the greatest common factor of each pair of numbers.

Problem

Correct Answer

Your Answer

12, 3

Solution
3 divides evenly into 12. Therefore 3 must be the greatest common factor.

Factors of 12: 1, 2, 3, 4, 6, 12
Factors of 3: 1, 3

#	Problem	Correct Answer	Your Answer
2	6, 9
Solution 9 - 6 = 3. Does 3 divide evenly into 6? Yes. Therefore 3 is the GCF. Factors of 6: 1, 2, 3, 6 Factors of 9: 1, 3, 9

Complexity=20

Find the greatest common factor of each pair of numbers.

#	Problem	Correct Answer	Your Answer
1	14, 6
Solution 14 - 6 = 8. GCF(14,6) = GCF(6, 8). The difference between 6 and 8 is 2. Does 2 divide evenly into 8? Yes. Therefore 2 is the GCF. Factors of 14: 1, 2, 7, 14 Factors of 6: 1, 2, 3, 6

#	Problem	Correct Answer	Your Answer
2	8, 20
Solution 20 - 8 = 12. GCF(20,8) = GCF(8, 12). The difference between 8 and 12 is 4. Does 4 divide evenly into 12? Yes. Therefore 4 is the GCF. Factors of 8: 1, 2, 4, 8 Factors of 20: 1, 2, 4, 5, 10, 20

Complexity=30

Find the greatest common factor of each pair of numbers.

#	Problem	Correct Answer	Your Answer
1	16, 28
Solution 28 - 16 = 12. GCF(28,16) = GCF(16, 12). The difference between 16 and 12 is 4. Does 4 divide evenly into 12? Yes. Therefore 4 is the GCF. Factors of 16: 1, 2, 4, 8, 16 Factors of 28: 1, 2, 4, 7, 14, 28

#	Problem	Correct Answer	Your Answer
2	30, 18
Solution 30 - 18 = 12. GCF(30,18) = GCF(18, 12). The difference between 18 and 12 is 6. Does 6 divide evenly into 12? Yes. Therefore 6 is the GCF. Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30 Factors of 18: 1, 2, 3, 6, 9, 18

Complexity=40

Find the greatest common factor of each pair of numbers.

#	Problem	Correct Answer	Your Answer
1	24, 28
Solution 28 - 24 = 4. Does 4 divide evenly into 24? Yes. Therefore 4 is the GCF. Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24 Factors of 28: 1, 2, 4, 7, 14, 28

#	Problem	Correct Answer	Your Answer
2	36, 30
Solution 36 - 30 = 6. Does 6 divide evenly into 30? Yes. Therefore 6 is the GCF. Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36 Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

Complexity=50

Find the greatest common factor of each pair of numbers.

#	Problem	Correct Answer	Your Answer
1	40, 26
Solution The factors of 26 are 1, 2, 13, 26. From greatest to least, check if each factor divides evenly into 40. 26 does not divide evenly into 40. 13 does not divide evenly into 40. 2 divides evenly into 40. Therefore, 2 is the GCF. Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40 Factors of 26: 1, 2, 13, 26

#	Problem	Correct Answer	Your Answer
2	30, 24
Solution 30 - 24 = 6. Does 6 divide evenly into 24? Yes. Therefore 6 is the GCF. Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30 Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

Complexity=80

Find the greatest common factor of each pair of numbers.

#	Problem	Correct Answer	Your Answer
1	70, 80
Solution 80 - 70 = 10. Does 10 divide evenly into 70? Yes. Therefore 10 is the GCF. Factors of 70: 1, 2, 5, 7, 10, 14, 35, 70 Factors of 80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

#	Problem	Correct Answer	Your Answer
2	48, 54
Solution 54 - 48 = 6. Does 6 divide evenly into 48? Yes. Therefore 6 is the GCF. Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 Factors of 54: 1, 2, 3, 6, 9, 18, 27, 54

Complexity=150

Find the greatest common factor of each pair of numbers.

#	Problem	Correct Answer	Your Answer
1	72, 112
Solution The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72. From greatest to least, check if each factor divides evenly into 112. 72 does not divide evenly into 112. 36 does not divide evenly into 112. 24 does not divide evenly into 112. 18 does not divide evenly into 112. 12 does not divide evenly into 112. 9 does not divide evenly into 112. 8 divides evenly into 112. Therefore, 8 is the GCF. Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72 Factors of 112: 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

#	Problem	Correct Answer	Your Answer
2	143, 110
Solution The factors of 110 are 1, 2, 5, 10, 11, 22, 55, 110. From greatest to least, check if each factor divides evenly into 143. 110 does not divide evenly into 143. 55 does not divide evenly into 143. 22 does not divide evenly into 143. 11 divides evenly into 143. Therefore, 11 is the GCF. Factors of 143: 1, 11, 13, 143 Factors of 110: 1, 2, 5, 10, 11, 22, 55, 110

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