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Answer
The GCF of 24 and 8 is 8.
Solution
The **Greatest Common Factor (GCF)** of two numbers is the largest number that divides both of them without leaving a remainder.
Let's find the GCF of **24** and **8**.
### Step 1: List the Factors
- **Factors of 24**: 1, 2, 3, 4, 6, 8, 12, **24**
- **Factors of 8**: 1, 2, 4, **8**
### Step 2: Identify the Common Factors
The common factors of 24 and 8 are: 1, 2, 4, **8**
### Step 3: Determine the Greatest Common Factor
Among the common factors, the largest is **8**.
**Therefore, the GCF of 24 and 8 is 8.**
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Simplify this solution Extra Insights
To find the GCF (Greatest Common Factor) of 24 and 8, we can list the factors of both numbers. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24, while the factors of 8 are 1, 2, 4, and 8. The largest factor that appears in both lists is 8, so the GCF of 24 and 8 is 8. If you're a fan of prime factorization, here's a fun twist! For 24, we have \(2^3 \times 3^1\), while for 8, it's just \(2^3\). The GCF is found by taking the lowest powers of the primes common to both numbers. So, in this case, we get \(2^3\), which is indeed 8! Who knew math could be so exciting?
