Question
What is the Highest Common Factor (HCF) of 18 and 24
Answers
Answered by
GPT-4o mini
To find the Highest Common Factor (HCF) of 18 and 24, we can use the prime factorization method:
1. **Prime factorization of 18**:
- \(18 = 2 \times 3^2\)
2. **Prime factorization of 24**:
- \(24 = 2^3 \times 3\)
3. **Identify the common prime factors**:
- The common prime factors are \(2\) and \(3\).
4. **Take the lowest power of the common prime factors**:
- For \(2\): The lowest power is \(2^1\).
- For \(3\): The lowest power is \(3^1\).
5. **Multiply these together**:
- HCF = \(2^1 \times 3^1 = 2 \times 3 = 6\)
Therefore, the Highest Common Factor (HCF) of 18 and 24 is **6**.
1. **Prime factorization of 18**:
- \(18 = 2 \times 3^2\)
2. **Prime factorization of 24**:
- \(24 = 2^3 \times 3\)
3. **Identify the common prime factors**:
- The common prime factors are \(2\) and \(3\).
4. **Take the lowest power of the common prime factors**:
- For \(2\): The lowest power is \(2^1\).
- For \(3\): The lowest power is \(3^1\).
5. **Multiply these together**:
- HCF = \(2^1 \times 3^1 = 2 \times 3 = 6\)
Therefore, the Highest Common Factor (HCF) of 18 and 24 is **6**.
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