To find the greatest common factor (GCF) of the expression \( 45g + 30h \), we need to determine the GCF of the coefficients and the remaining variables.
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Find the GCF of the coefficients (45 and 30):
- 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 of 45 and 30 are \( 1, 3, 5, 15 \).
- The greatest of these is \( 15 \).
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Identify any common variables:
- The expression \( 45g + 30h \) contains the variables \( g \) and \( h \), but since they are different variables, there is no common variable in both terms.
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Combine the GCF of the coefficients:
- Thus, the GCF of the expression \( 45g + 30h \) is \( 15 \).
So, the GCF of \( 45g + 30h \) is \( 15 \).
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