Let’s solve each problem step by step. We’re finding the
Greatest Common Factor (GCF) of two numbers — that means the biggest number that divides both numbers evenly.
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1) GCF of 8 and 7
- Factors of 8: 1, 2, 4, 8
- Factors of 7: 1, 7
→ Only common factor is
1
✔ GCF =
1
---
2) GCF of 6 and 9
- Factors of 6: 1, 2, 3, 6
- Factors of 9: 1, 3, 9
→ Common factors: 1, 3 → Biggest is
3
✔ GCF =
3
---
3) GCF of 10 and 15
- Factors of 10: 1, 2, 5, 10
- Factors of 15: 1, 3, 5, 15
→ Common factors: 1, 5 → Biggest is
5
✔ GCF =
5
---
4) GCF of 12 and 18
- Factors of 12: 1, 2, 3, 4, 6, 12
- Factors of 18: 1, 2, 3, 6, 9, 18
→ Common factors: 1, 2, 3, 6 → Biggest is
6
✔ GCF =
6
---
5) GCF of 14 and 21
- Factors of 14: 1, 2, 7, 14
- Factors of 21: 1, 3, 7, 21
→ Common factors: 1, 7 → Biggest is
7
✔ GCF =
7
---
6) GCF of 16 and 24
- Factors of 16: 1, 2, 4, 8, 16
- Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
→ Common factors: 1, 2, 4, 8 → Biggest is
8
✔ GCF =
8
---
Final Answer:
1) 1
2) 3
3) 5
4) 6
5) 7
6) 8
Parent Tip: Review the logic above to help your child master the concept of greatest common factor worksheets.
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