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Find the GCF of \(30m\ +\ 12n\). (1 point)

1 answer

To find the greatest common factor (GCF) of the expression \(30m + 12n\), we examine the coefficients of each term: 30 and 12.

  1. Find the GCF of the coefficients:

    • The factors of 30 are: \(1, 2, 3, 5, 6, 10, 15, 30\)
    • The factors of 12 are: \(1, 2, 3, 4, 6, 12\)
    • The common factors are: \(1, 2, 3, 6\)
    • The greatest of these common factors is \(6\).

  2. Identify any common variables:

    • In the expression \(30m + 12n\), the terms do not have a common variable factor (as \(m\) and \(n\) are different variables).

Therefore, the GCF of \(30m + 12n\) is:

\[ \boxed{6} \]