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To find the greatest common factor (GCF) of the expression \(45G + 30h\), we can follow these steps:
1. **Identify the coefficients**: The coefficients are 45 and 30.
2. **Find the GCF of the coefficients**:
- The factors of 45 are: \(1, 3, 5, 9, 15, 45\)
- The factors of 30 are: \(1, 2, 3, 5, 6, 10, 15, 30\)
The common factors are \(1, 3, 5, 15\), so the GCF of 45 and 30 is \(15\).
3. **Identify the variables**: The variables in the expression are \(G\) and \(h\). Since they are different variables, the GCF regarding variables is \(1\) because there are no common variables.
4. **Combine the GCF of the coefficients and variables**: Therefore, the GCF of \(45G\) and \(30h\) is \(15\).
So, the GCF of \(45G + 30h\) is \(15\).