Math worksheet for finding the greatest common factor of three numbers, suitable for educational practice.

Let's solve each problem step by step to find the Greatest Common Factor (GCF) of the given sets of three numbers. The GCF is the largest number that divides all the numbers in the set without leaving a remainder.

---

1) GCF(8, 14, 12)

Step 1: Find factors of each number:
- Factors of 8: 1, 2, 4, 8
- Factors of 14: 1, 2, 7, 14
- Factors of 12: 1, 2, 3, 4, 6, 12

Common factors: 1, 2
→ GCF = 2

---

2) GCF(12, 24, 14)

- Factors of 12: 1, 2, 3, 4, 6, 12
- Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
- Factors of 14: 1, 2, 7, 14

Common factors: 1, 2
→ GCF = 2

---

3) GCF(15, 20, 5)

- Factors of 15: 1, 3, 5, 15
- Factors of 20: 1, 2, 4, 5, 10, 20
- Factors of 5: 1, 5

Common factors: 1, 5
→ GCF = 5

---

4) GCF(4, 16, 6)

- Factors of 4: 1, 2, 4
- Factors of 16: 1, 2, 4, 8, 16
- Factors of 6: 1, 2, 3, 6

Common factors: 1, 2
→ GCF = 2

---

5) GCF(24, 15, 6)

- Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
- Factors of 15: 1, 3, 5, 15
- Factors of 6: 1, 2, 3, 6

Common factors: 1, 3
→ GCF = 3

---

6) GCF(7, 21, 18)

- Factors of 7: 1, 7
- Factors of 21: 1, 3, 7, 21
- Factors of 18: 1, 2, 3, 6, 9, 18

Common factor: 1
→ GCF = 1

---

7) GCF(12, 2, 24)

- Factors of 12: 1, 2, 3, 4, 6, 12
- Factors of 2: 1, 2
- Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

Common factors: 1, 2
→ GCF = 2

---

8) GCF(20, 10, 25)

- Factors of 20: 1, 2, 4, 5, 10, 20
- Factors of 10: 1, 2, 5, 10
- Factors of 25: 1, 5, 25

Common factors: 1, 5
→ GCF = 5

---

9) GCF(3, 18, 9)

- Factors of 3: 1, 3
- Factors of 18: 1, 2, 3, 6, 9, 18
- Factors of 9: 1, 3, 9

Common factors: 1, 3
→ GCF = 3

---

10) GCF(6, 16, 18)

- Factors of 6: 1, 2, 3, 6
- Factors of 16: 1, 2, 4, 8, 16
- Factors of 18: 1, 2, 3, 6, 9, 18

Common factors: 1, 2
→ GCF = 2

---

✔ Final Answers:

1) GCF(8, 14, 12) = 2
2) GCF(12, 24, 14) = 2
3) GCF(15, 20, 5) = 5
4) GCF(4, 16, 6) = 2
5) GCF(24, 15, 6) = 3
6) GCF(7, 21, 18) = 1
7) GCF(12, 2, 24) = 2
8) GCF(20, 10, 25) = 5
9) GCF(3, 18, 9) = 3
10) GCF(6, 16, 18) = 2

---

Let me know if you'd like a method using prime factorization instead!