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By Swati Singh
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Updated on 3 Nov 2025, 12:30 IST
Download CBSE Class 5 Mathematics Factors and Multiples MCQs in PDF format from the link below. These multiple-choice questions are prepared according to the latest syllabus and exam pattern recommended by CBSE, and NCERT. Practicing these Class 5 Maths Factors and Multiples MCQs with answers helps strengthen your concepts and improve your exam performance. Explore more chapter-wise Class 5 Mathematics MCQs and access updated study materials for all subjects to enhance your preparation.
1. What is the HCF of 12 and 18?
A) 2
B) 3
C) 6
D) 9
Answer: C) 6
Explanation: 12 = 2 × 2 × 3, 18 = 2 × 3 × 3. Common factors = 2 × 3 = 6.
2. Find the HCF of 8 and 12.
A) 2
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B) 4
C) 6
D) 8
Answer: B) 4
3. What is the HCF of 15 and 25?
A) 3
B) 5
C) 10
D) 15
Answer: B) 5
4. The HCF of 9 and 27 is:
A) 3
B) 6
C) 9
D) 18
Answer: C) 9
5. What is the HCF of 14 and 49?
A) 7
B) 14
C) 28
D) 21
Answer: A) 7
6. The HCF of 20 and 28 is:
A) 2
B) 4
C) 6
D) 8
Answer: B) 4
7. What is the HCF of 24, 36, and 60?
A) 4
B) 6
C) 12
D) 24
Answer: C) 12
8. Find the HCF of 18 and 24.
A) 3
B) 6
C) 8
D) 12
Answer: B) 6
9. The HCF of 35 and 50 is:
A) 5
B) 7
C) 10
D) 15
Answer: A) 5
10. What is the HCF of 10 and 15?
A) 3
B) 5
C) 10
D) 15
Answer: B) 5
11. The HCF of 16 and 24 is:
A) 4
B) 6
C) 8
D) 12
Answer: C) 8
12. Find the HCF of 21 and 35.
A) 5
B) 7
C) 14
D) 10
Answer: B) 7
13. What is the HCF of 45 and 60?
A) 5
B) 10
C) 15
D) 20
Answer: C) 15
14. The HCF of 6, 9, and 15 is:
A) 3
B) 5
C) 6
D) 9
Answer: A) 3
15. What is the HCF of 32 and 48?
A) 8
B) 12
C) 16
D) 24
Answer: C) 16
16. HCF of 25 and 40 is:
A) 5
B) 10
C) 15
D) 20
Answer: A) 5
17. What is the HCF of 8, 16, and 20?
A) 2
B) 4
C) 6
D) 8
Answer: B) 4
18. The HCF of 30 and 50 is:
A) 5
B) 10
C) 15
D) 25
Answer: B) 10
19. What is the HCF of 63 and 81?
A) 3
B) 7
C) 9
D) 21
Answer: C) 9
20. Find the HCF of 48 and 72.
A) 8
B) 12
C) 16
D) 24
Answer: D) 24
21. The HCF of 18, 27, and 45 is:
A) 3
B) 6
C) 9
D) 12
Answer: C) 9
22. What is the HCF of 70 and 105?
A) 5
B) 7
C) 10
D) 35
Answer: B) 7
23. The HCF of 50 and 75 is:
A) 10
B) 15
C) 20
D) 25
Answer: B) 25
24. Find the HCF of 90 and 120.
A) 15
B) 20
C) 25
D) 30
Answer: D) 30
25. The HCF of 27 and 45 is:
A) 3
B) 6
C) 9
D) 15
Answer: C) 9
26. What is the HCF of 36, 48, and 60?
A) 6
B) 8
C) 12
D) 18
Answer: C) 12
27. The HCF of 64 and 96 is:
A) 16
B) 24
C) 32
D) 48
Answer: C) 32
28. What is the HCF of 33 and 44?
A) 3
B) 6
C) 11
D) 22
Answer: C) 11
29. The HCF of 18, 54, and 81 is:
A) 6
B) 9
C) 18
D) 27
Answer: B) 9
30. What is the HCF of 42 and 63?
A) 3
B) 6
C) 7
D) 21
Answer: D) 21
31. HCF of 16 and 20 is:
A) 2
B) 4
C) 5
D) 8
Answer: B) 4
32. What is the HCF of 9 and 10?
A) 1
B) 2
C) 3
D) 5
Answer: A) 1
33. The HCF of 50, 75, and 100 is:
A) 10
B) 15
C) 20
D) 25
Answer: D) 25
34. Find the HCF of 27, 36, and 45.
A) 3
B) 6
C) 9
D) 12
Answer: C) 9
35. The HCF of 24 and 40 is:
A) 4
B) 6
C) 8
D) 12
Answer: C) 8
36. What is the HCF of 72 and 108?
A) 18
B) 24
C) 36
D) 48
Answer: C) 36
37. The HCF of 14, 28, and 42 is:
A) 2
B) 4
C) 6
D) 14
Answer: D) 14
38. Find the HCF of 8, 12, and 16.
A) 2
B) 4
C) 6
D) 8
Answer: B) 4
39. The HCF of 22 and 55 is:
A) 5
B) 10
C) 11
D) 22
Answer: C) 11
40. What is the HCF of 48, 60, and 72?
A) 6
B) 8
C) 12
D) 18
Answer: C) 12
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HCF (Highest Common Factor) is the largest number that divides two or more numbers exactly without leaving a remainder.
HCF is also called GCF (Greatest Common Factor) or GCD (Greatest Common Divisor).
We find HCF to simplify ratios, reduce fractions, and solve problems involving equal sharing or grouping.
List the factors of each number.
Identify the common factors.
Choose the greatest one — that is the HCF.
Example:
Factors of 12 = 1, 2, 3, 4, 6, 12
Factors of 18 = 1, 2, 3, 6, 9, 18
→ HCF = 6
Listing factors method
Prime factorization method
Division method
It is always 1.
Always 1, since prime numbers have no common factors except 1.
No. HCF is always less than or equal to the smallest given number.
The HCF of two equal numbers is the number itself.
Then the smaller number itself is the HCF.
Example: 8 divides 16 → HCF = 8