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