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Gcf of 64, 112
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GPT-4o mini
To find the greatest common factor (GCF) of 64 and 112, we can first find the prime factorization of each number.
1. **Prime Factorization**:
- **64**:
- \(64 = 2^6\)
- **112**:
- \(112 = 2^4 \times 7\) (since \(112 = 16 \times 7 = 2^4 \times 7\))
2. **Identify Common Factors**:
- The common prime factor is \(2\).
- The lowest power of \(2\) in both factorizations is \(2^4\).
3. **Calculate the GCF**:
- Therefore, the GCF of 64 and 112 is \(2^4 = 16\).
So, the GCF of 64 and 112 is **16**.
1. **Prime Factorization**:
- **64**:
- \(64 = 2^6\)
- **112**:
- \(112 = 2^4 \times 7\) (since \(112 = 16 \times 7 = 2^4 \times 7\))
2. **Identify Common Factors**:
- The common prime factor is \(2\).
- The lowest power of \(2\) in both factorizations is \(2^4\).
3. **Calculate the GCF**:
- Therefore, the GCF of 64 and 112 is \(2^4 = 16\).
So, the GCF of 64 and 112 is **16**.
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