What is the greatest common factor in least common factor of 20 and 109?

To clarify the terms:

1. **Greatest Common Factor (GCF)** refers to the largest number that divides two numbers without leaving a remainder.
2. **Least Common Factor (LCF)**, sometimes interpreted as the smallest number that divides both numbers, is always 1 for any two numbers unless they are both zero.

### Finding the GCF of 20 and 109:
- The factors of **20** are: 1, 2, 4, 5, 10, 20.
- The factors of **109** (a prime number) are: 1, 109.

Since the only common factor between 20 and 109 is **1**, their **GCF** is **1**.

### Finding the LCF of 20 and 109:
- As noted, the smallest common factor is always **1**, unless both numbers are 0.

Thus, for the numbers 20 and 109:
- **GCF = 1**
- **LCF = 1**

Would you like more details or have any questions?

Here are 5 related questions to consider:
1. How do you find the GCF of two larger numbers?
2. What are prime numbers and why is 109 a prime number?
3. How do you find the least common multiple (LCM) of two numbers?
4. How does prime factorization help in finding the GCF?
5. Can two numbers have a GCF larger than 1 if one is prime?

**Tip:** The GCF of two numbers is always less than or equal to the smaller of the two numbers.

Discover how to find the greatest common factor (GCF) and least common factor (LCF) of 20 and 109. This problem explores basic number theory concepts such as prime numbers and common factors, suitable for students in Grades 6-8.

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