Math worksheet for finding the greatest common factor of number pairs.

You're asked to find the Greatest Common Factor (GCF) — also known as the Greatest Common Divisor (GCD) — for each pair of numbers.

The GCF is the largest positive integer that divides both numbers evenly (with no remainder).

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Let’s solve each pair one by one:

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Left Column:

#### 1. 6, 12
- Factors of 6: 1, 2, 3, 6
- Factors of 12: 1, 2, 3, 4, 6, 12
- Common factors: 1, 2, 3, 6
- GCF = 6

#### 2. 24, 3
- Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
- Factors of 3: 1, 3
- Common factors: 1, 3
- GCF = 3

#### 3. 6, 4
- Factors of 6: 1, 2, 3, 6
- Factors of 4: 1, 2, 4
- Common factors: 1, 2
- GCF = 2

#### 4. 8, 24
- Factors of 8: 1, 2, 4, 8
- Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
- Common factors: 1, 2, 4, 8
- GCF = 8

#### 5. 24, 2
- Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
- Factors of 2: 1, 2
- Common factors: 1, 2
- GCF = 2

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Right Column:

#### 1. 8, 12
- Factors of 8: 1, 2, 4, 8
- Factors of 12: 1, 2, 3, 4, 6, 12
- Common factors: 1, 2, 4
- GCF = 4

#### 2. 24, 3
*(Same as above)*
- GCF = 3

#### 3. 8, 2
- Factors of 8: 1, 2, 4, 8
- Factors of 2: 1, 2
- Common factors: 1, 2
- GCF = 2

#### 4. 6, 4
*(Same as above)*
- GCF = 2

#### 5. 4, 24
- Factors of 4: 1, 2, 4
- Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
- Common factors: 1, 2, 4
- GCF = 4

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## ✔ Final Answers:

Left Column:

- 6, 12 → 6
- 24, 3 → 3
- 6, 4 → 2
- 8, 24 → 8
- 24, 2 → 2

Right Column:

- 8, 12 → 4
- 24, 3 → 3
- 8, 2 → 2
- 6, 4 → 2
- 4, 24 → 4

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💡 Tip: You can also use prime factorization or the Euclidean algorithm for larger numbers, but for small numbers like these, listing factors works great!

Let me know if you’d like to see how to do it with prime factorization!