Ask a New Question
Menu

find the gfc of 15q plus 6

1 answer

To find the greatest common factor (GCF) of the expression \(15q + 6\), we can factor out the common factors in the coefficients of the terms.

  1. Identify the coefficients: The coefficients are 15 (from \(15q\)) and 6 (from the constant term).

  2. Find the GCF of 15 and 6:

    • The factors of 15 are: 1, 3, 5, 15
    • The factors of 6 are: 1, 2, 3, 6
    • The common factors are: 1, 3
    • The greatest of these is 3.

  3. Now, factor out the GCF (which is 3) from the expression: \[ 15q + 6 = 3(5q + 2) \]

Thus, the GCF of the expression \(15q + 6\) is \(3\), and the factored form is \(3(5q + 2)\).