List the factors of the set of numbers, then find the GCF.
1)	18 and 27
2)	15 and 45
3)	28 and 42
4)	24 and 40
5)	21, 35, and 49
6) 	36, 54, and 75


Let's list the factors of the given numbers and then find the greatest common factor (GCF) for each set.

### 1) 18 and 27
- **Factors of 18**: 1, 2, 3, 6, 9, 18
- **Factors of 27**: 1, 3, 9, 27
- **GCF**: 9

### 2) 15 and 45
- **Factors of 15**: 1, 3, 5, 15
- **Factors of 45**: 1, 3, 5, 9, 15, 45
- **GCF**: 15

### 3) 28 and 42
- **Factors of 28**: 1, 2, 4, 7, 14, 28
- **Factors of 42**: 1, 2, 3, 6, 7, 14, 21, 42
- **GCF**: 14

### 4) 24 and 40
- **Factors of 24**: 1, 2, 3, 4, 6, 8, 12, 24
- **Factors of 40**: 1, 2, 4, 5, 8, 10, 20, 40
- **GCF**: 8

### 5) 21, 35, and 49
- **Factors of 21**: 1, 3, 7, 21
- **Factors of 35**: 1, 5, 7, 35
- **Factors of 49**: 1, 7, 49
- **GCF**: 7

### 6) 36, 54, and 75
- **Factors of 36**: 1, 2, 3, 4, 6, 9, 12, 18, 36
- **Factors of 54**: 1, 2, 3, 6, 9, 18, 27, 54
- **Factors of 75**: 1, 3, 5, 15, 25, 75
- **GCF**: 3

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Would you like more details on any of these problems or have questions?

Here are 5 related questions to expand your understanding:
1. How do you find the least common multiple (LCM) of two or more numbers?
2. What is the prime factorization of 18 and 27?
3. Can the GCF be greater than the smallest number in a set of numbers?
4. How do factors relate to divisibility rules in mathematics?
5. Why is the GCF important in simplifying fractions?

**Tip**: The GCF of two numbers can always be found by taking the product of the common prime factors in their prime factorizations!

List the factors of the set of numbers, then find the GCF.
1) 18 and 27
2) 15 and 45
3) 28 and 42
4) 24 and 40
5) 21, 35, and 49
6) 36, 54, and 75

Explore how to find the greatest common factor (GCF) for multiple sets of numbers, including pairs like 18 and 27, and groups like 21, 35, and 49. Detailed factorization breakdowns and GCF calculations are provided for each set. This lesson is perfect for students in Grades 5-7 learning about number theory and divisibility.

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