Sure! Let’s solve each problem step by step. The task is to
list all the factors of each number in the pair, then find the
common factors, and finally identify the
Greatest Common Factor (GCF) — which is the largest number that divides both numbers evenly.
---
🔢 Problem 1: 2 and 4
- Factors of 2:
1, 2
- Factors of 4:
1, 2, 4
- Common factors:
1, 2
- GCF =
2 ✔ *(already filled in)*
---
🔢 Problem 2: 5 and 10
- Factors of 5:
1, 5
- Factors of 10:
1, 2, 5, 10
- Common factors:
1, 5
- GCF =
5
---
🔢 Problem 3: 10 and 15
- Factors of 10:
1, 2, 5, 10
- Factors of 15:
1, 3, 5, 15
- Common factors:
1, 5
- GCF =
5
---
🔢 Problem 4: 13 and 15
- Factors of 13:
1, 13 *(13 is prime)*
- Factors of 15:
1, 3, 5, 15
- Common factors:
1
- GCF =
1
---
🔢 Problem 5: 12 and 14
- Factors of 12:
1, 2, 3, 4, 6, 12
- Factors of 14:
1, 2, 7, 14
- Common factors:
1, 2
- GCF =
2
---
🔢 Problem 6: 14 and 7
- Factors of 14:
1, 2, 7, 14
- Factors of 7:
1, 7
- Common factors:
1, 7
- GCF =
7
---
🔢 Problem 7: 3 and 15
- Factors of 3:
1, 3
- Factors of 15:
1, 3, 5, 15
- Common factors:
1, 3
- GCF =
3
---
🔢 Problem 8: 3 and 18
- Factors of 3:
1, 3
- Factors of 18:
1, 2, 3, 6, 9, 18
- Common factors:
1, 3
- GCF =
3
---
🔢 Problem 9: 5 and 15
- Factors of 5:
1, 5
- Factors of 15:
1, 3, 5, 15
- Common factors:
1, 5
- GCF =
5
---
🔢 Problem 10: 18 and 15
- Factors of 18:
1, 2, 3, 6, 9, 18
- Factors of 15:
1, 3, 5, 15
- Common factors:
1, 3
- GCF =
3
---
🔢 Problem 11: 12 and 15
- Factors of 12:
1, 2, 3, 4, 6, 12
- Factors of 15:
1, 3, 5, 15
- Common factors:
1, 3
- GCF =
3
---
🔢 Problem 12: 12 and 14
*(Same as Problem 5)*
- Factors of 12:
1, 2, 3, 4, 6, 12
- Factors of 14:
1, 2, 7, 14
- Common factors:
1, 2
- GCF =
2
---
🔢 Problem 13: 14 and 2
- Factors of 14:
1, 2, 7, 14
- Factors of 2:
1, 2
- Common factors:
1, 2
- GCF =
2
---
🔢 Problem 14: 20 and 15
- Factors of 20:
1, 2, 4, 5, 10, 20
- Factors of 15:
1, 3, 5, 15
- Common factors:
1, 5
- GCF =
5
---
##
✔ Final Answers Summary:
| Problem | GCF |
|---------|-----|
| 1 | 2 |
| 2 | 5 |
| 3 | 5 |
| 4 | 1 |
| 5 | 2 |
| 6 | 7 |
| 7 | 3 |
| 8 | 3 |
| 9 | 5 |
| 10 | 3 |
| 11 | 3 |
| 12 | 2 |
| 13 | 2 |
| 14 | 5 |
---
✔ You can now fill in the worksheet with these answers!
Let me know if you’d like a printable version or explanations for any specific problem!
Parent Tip: Review the logic above to help your child master the concept of gcf lcm worksheet.
