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The problem asks for the largest number that both 16 and 24 can be divided by with no remainder. This is a common problem in mathematics known as finding the **Greatest Common Divisor (GCD)**.

Let's break this down:

1. **Factors of 16**:
   - 16 = 1, 2, 4, 8, 16

2. **Factors of 24**:
   - 24 = 1, 2, 3, 4, 6, 8, 12, 24

The largest common factor is **8**.

Thus, the largest number that both 16 and 24 can be divided by with no remainder is **8**.

Would you like a more detailed explanation on how to find the GCD using a different method?

Here are 5 related questions to explore further:
1. What is the GCD of 18 and 24?
2. How can the prime factorization method be used to find the GCD of two numbers?
3. Can the GCD of two numbers be greater than the smallest number?
4. How is the GCD used in simplifying fractions?
5. What is the relationship between the GCD and the Least Common Multiple (LCM)?

**Tip**: The Euclidean algorithm is an efficient method to find the GCD, especially with larger numbers!

What is the largest number that both 16 and 24 can be divided by with no remainder?

Learn how to find the greatest common divisor (GCD) of 16 and 24 with a detailed explanation. This problem involves key concepts such as factors, division, and the Euclidean algorithm. Suitable for students in Grades 6-8.

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