Find the GCF of 45 G + 30h

Answer 1

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 \(15\).