Greatest Common Factor Worksheet page - Free Printable
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Step-by-step solution for: Greatest Common Factor Worksheet page
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Show Answer Key & Explanations
Step-by-step solution for: Greatest Common Factor Worksheet page
To solve the Greatest Common Factor (GCF) problems, we need to find the largest number that divides all the given numbers in each set without leaving a remainder. Here's a step-by-step explanation for each problem:
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- Factors of 12: \(1, 2, 3, 4, 6, 12\)
- Factors of 20: \(1, 2, 4, 5, 10, 20\)
- Factors of 32: \(1, 2, 4, 8, 16, 32\)
- Common Factors: \(1, 2, 4\)
- Greatest Common Factor: \(4\)
Answer: \(\boxed{4}\)
---
- Factors of 45: \(1, 3, 5, 9, 15, 45\)
- Factors of 20: \(1, 2, 4, 5, 10, 20\)
- Factors of 16: \(1, 2, 4, 8, 16\)
- Common Factors: \(1\)
- Greatest Common Factor: \(1\)
Answer: \(\boxed{1}\)
---
- Factors of 33: \(1, 3, 11, 33\)
- Factors of 77: \(1, 7, 11, 77\)
- Factors of 55: \(1, 5, 11, 55\)
- Common Factors: \(1, 11\)
- Greatest Common Factor: \(11\)
Answer: \(\boxed{11}\)
---
- Factors of 36: \(1, 2, 3, 4, 6, 9, 12, 18, 36\)
- Factors of 24: \(1, 2, 3, 4, 6, 8, 12, 24\)
- Factors of 60: \(1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60\)
- Common Factors: \(1, 2, 3, 4, 6, 12\)
- Greatest Common Factor: \(12\)
Answer: \(\boxed{12}\)
---
- Factors of 35: \(1, 5, 7, 35\)
- Factors of 56: \(1, 2, 4, 7, 8, 14, 28, 56\)
- Factors of 77: \(1, 7, 11, 77\)
- Common Factors: \(1, 7\)
- Greatest Common Factor: \(7\)
Answer: \(\boxed{7}\)
---
- Factors of 50: \(1, 2, 5, 10, 25, 50\)
- Factors of 100: \(1, 2, 4, 5, 10, 20, 25, 50, 100\)
- Factors of 25: \(1, 5, 25\)
- Common Factors: \(1, 5, 25\)
- Greatest Common Factor: \(25\)
Answer: \(\boxed{25}\)
---
- Factors of 15: \(1, 3, 5, 15\)
- Factors of 21: \(1, 3, 7, 21\)
- Factors of 33: \(1, 3, 11, 33\)
- Common Factors: \(1, 3\)
- Greatest Common Factor: \(3\)
Answer: \(\boxed{3}\)
---
- Factors of 32: \(1, 2, 4, 8, 16, 32\)
- Factors of 45: \(1, 3, 5, 9, 15, 45\)
- Factors of 63: \(1, 3, 7, 9, 21, 63\)
- Common Factors: \(1\)
- Greatest Common Factor: \(1\)
Answer: \(\boxed{1}\)
---
- Factors of 18: \(1, 2, 3, 6, 9, 18\)
- Factors of 24: \(1, 2, 3, 4, 6, 8, 12, 24\)
- Factors of 42: \(1, 2, 3, 6, 7, 14, 21, 42\)
- Common Factors: \(1, 2, 3, 6\)
- Greatest Common Factor: \(6\)
Answer: \(\boxed{6}\)
---
- Factors of 39: \(1, 3, 13, 39\)
- Factors of 52: \(1, 2, 4, 13, 26, 52\)
- Factors of 78: \(1, 2, 3, 6, 13, 26, 39, 78\)
- Common Factors: \(1, 13\)
- Greatest Common Factor: \(13\)
Answer: \(\boxed{13}\)
---
- Factors of 72: \(1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72\)
- Factors of 45: \(1, 3, 5, 9, 15, 45\)
- Factors of 63: \(1, 3, 7, 9, 21, 63\)
- Common Factors: \(1, 3, 9\)
- Greatest Common Factor: \(9\)
Answer: \(\boxed{9}\)
---
- Factors of 33: \(1, 3, 11, 33\)
- Factors of 42: \(1, 2, 3, 6, 7, 14, 21, 42\)
- Factors of 57: \(1, 3, 19, 57\)
- Common Factors: \(1, 3\)
- Greatest Common Factor: \(3\)
Answer: \(\boxed{3}\)
---
1. \(\boxed{4}\)
2. \(\boxed{1}\)
3. \(\boxed{11}\)
4. \(\boxed{12}\)
5. \(\boxed{7}\)
6. \(\boxed{25}\)
7. \(\boxed{3}\)
8. \(\boxed{1}\)
9. \(\boxed{6}\)
10. \(\boxed{13}\)
11. \(\boxed{9}\)
12. \(\boxed{3}\)
Boxed Final Answer:
\[
\boxed{4, 1, 11, 12, 7, 25, 3, 1, 6, 13, 9, 3}
\]
---
1. GCF (12, 20, 32)
- Factors of 12: \(1, 2, 3, 4, 6, 12\)
- Factors of 20: \(1, 2, 4, 5, 10, 20\)
- Factors of 32: \(1, 2, 4, 8, 16, 32\)
- Common Factors: \(1, 2, 4\)
- Greatest Common Factor: \(4\)
Answer: \(\boxed{4}\)
---
2. GCF (45, 20, 16)
- Factors of 45: \(1, 3, 5, 9, 15, 45\)
- Factors of 20: \(1, 2, 4, 5, 10, 20\)
- Factors of 16: \(1, 2, 4, 8, 16\)
- Common Factors: \(1\)
- Greatest Common Factor: \(1\)
Answer: \(\boxed{1}\)
---
3. GCF (33, 77, 55)
- Factors of 33: \(1, 3, 11, 33\)
- Factors of 77: \(1, 7, 11, 77\)
- Factors of 55: \(1, 5, 11, 55\)
- Common Factors: \(1, 11\)
- Greatest Common Factor: \(11\)
Answer: \(\boxed{11}\)
---
4. GCF (36, 24, 60)
- Factors of 36: \(1, 2, 3, 4, 6, 9, 12, 18, 36\)
- Factors of 24: \(1, 2, 3, 4, 6, 8, 12, 24\)
- Factors of 60: \(1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60\)
- Common Factors: \(1, 2, 3, 4, 6, 12\)
- Greatest Common Factor: \(12\)
Answer: \(\boxed{12}\)
---
5. GCF (35, 56, 77)
- Factors of 35: \(1, 5, 7, 35\)
- Factors of 56: \(1, 2, 4, 7, 8, 14, 28, 56\)
- Factors of 77: \(1, 7, 11, 77\)
- Common Factors: \(1, 7\)
- Greatest Common Factor: \(7\)
Answer: \(\boxed{7}\)
---
6. GCF (50, 100, 25)
- Factors of 50: \(1, 2, 5, 10, 25, 50\)
- Factors of 100: \(1, 2, 4, 5, 10, 20, 25, 50, 100\)
- Factors of 25: \(1, 5, 25\)
- Common Factors: \(1, 5, 25\)
- Greatest Common Factor: \(25\)
Answer: \(\boxed{25}\)
---
7. GCF (15, 21, 33)
- Factors of 15: \(1, 3, 5, 15\)
- Factors of 21: \(1, 3, 7, 21\)
- Factors of 33: \(1, 3, 11, 33\)
- Common Factors: \(1, 3\)
- Greatest Common Factor: \(3\)
Answer: \(\boxed{3}\)
---
8. GCF (32, 45, 63)
- Factors of 32: \(1, 2, 4, 8, 16, 32\)
- Factors of 45: \(1, 3, 5, 9, 15, 45\)
- Factors of 63: \(1, 3, 7, 9, 21, 63\)
- Common Factors: \(1\)
- Greatest Common Factor: \(1\)
Answer: \(\boxed{1}\)
---
9. GCF (18, 24, 42)
- Factors of 18: \(1, 2, 3, 6, 9, 18\)
- Factors of 24: \(1, 2, 3, 4, 6, 8, 12, 24\)
- Factors of 42: \(1, 2, 3, 6, 7, 14, 21, 42\)
- Common Factors: \(1, 2, 3, 6\)
- Greatest Common Factor: \(6\)
Answer: \(\boxed{6}\)
---
10. GCF (39, 52, 78)
- Factors of 39: \(1, 3, 13, 39\)
- Factors of 52: \(1, 2, 4, 13, 26, 52\)
- Factors of 78: \(1, 2, 3, 6, 13, 26, 39, 78\)
- Common Factors: \(1, 13\)
- Greatest Common Factor: \(13\)
Answer: \(\boxed{13}\)
---
11. GCF (72, 45, 63)
- Factors of 72: \(1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72\)
- Factors of 45: \(1, 3, 5, 9, 15, 45\)
- Factors of 63: \(1, 3, 7, 9, 21, 63\)
- Common Factors: \(1, 3, 9\)
- Greatest Common Factor: \(9\)
Answer: \(\boxed{9}\)
---
12. GCF (33, 42, 57)
- Factors of 33: \(1, 3, 11, 33\)
- Factors of 42: \(1, 2, 3, 6, 7, 14, 21, 42\)
- Factors of 57: \(1, 3, 19, 57\)
- Common Factors: \(1, 3\)
- Greatest Common Factor: \(3\)
Answer: \(\boxed{3}\)
---
Final Answers:
1. \(\boxed{4}\)
2. \(\boxed{1}\)
3. \(\boxed{11}\)
4. \(\boxed{12}\)
5. \(\boxed{7}\)
6. \(\boxed{25}\)
7. \(\boxed{3}\)
8. \(\boxed{1}\)
9. \(\boxed{6}\)
10. \(\boxed{13}\)
11. \(\boxed{9}\)
12. \(\boxed{3}\)
Boxed Final Answer:
\[
\boxed{4, 1, 11, 12, 7, 25, 3, 1, 6, 13, 9, 3}
\]
Parent Tip: Review the logic above to help your child master the concept of free greatest common factor worksheet.
