Two numbers are considered *co-primes* (or *relatively prime*) if their greatest common divisor (GCD) is 1, meaning they have no common divisors other than 1.

To determine if 216 and 215 are co-primes:

1. **Factorization of 216**:
   - 216 can be factored as \( 216 = 2^3 \times 3^3 \).
   
2. **Factorization of 215**:
   - 215 can be factored as \( 215 = 5 \times 43 \).

3. **Common Factors**:
   - The factors of 216 are \( 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 54, 72, 108, 216 \).
   - The factors of 215 are \( 1, 5, 43, 215 \).
   - The only common factor between 216 and 215 is 1.

Since the GCD of 216 and 215 is 1, **216 and 215 are co-prime**.

Would you like more details on this, or do you have any other questions?

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Here are some related questions:
1. What is the significance of GCD in determining co-primes?
2. How do you find the GCD of two numbers?
3. Can you provide an example where two numbers are not co-primes?
4. Are consecutive numbers always co-prime?
5. How can prime factorization help in determining if two numbers are co-prime?

**Tip:** When determining if two numbers are co-prime, always check their greatest common divisor (GCD). If it equals 1, the numbers are co-prime.

Discover if 216 and 215 are co-primes with a detailed explanation. Learn about co-primality in number theory and how to determine if two numbers are co-prime using prime factorization and the GCD. Suitable for students in Grades 7-9.

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