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To find the greatest common factor (GCF) of the expression \(42m - 28n\), we first determine the GCF of the coefficients (42 and 28).
1. **List the factors**:
- Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42
- Factors of 28: 1, 2, 4, 7, 14, 28
2. **Find the common factors**:
- Common factors: 1, 2, 7, 14
3. **Identify the greatest common factor**:
- The greatest common factor is 14.
Thus, the GCF of \(42m - 28n\) is **14**.