Ask a New Question
Menu

gfc of 45g plus 30h

1 answer

To find the greatest common factor (GCF) of the expression \(45g + 30h\), we need to factor out any common factors from the coefficients of the terms.

  1. Identify the coefficients: The coefficients in the expression 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: \(1, 3, 5, 15\)
    • The greatest common factor is \(15\).

  3. Factor out the GCF: Now we can factor the GCF out of the original expression: \[ 45g + 30h = 15(3g + 2h) \]

So, the GCF of \(45g + 30h\) is \(15\), and the expression can be rewritten as: \[ 15(3g + 2h) \]