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Find the GCF of 30m + 12n

30
𝑚

+

12
𝑛
.(1 point)..............

1 answer

To find the greatest common factor (GCF) of the expression \(30m + 12n\), we can first determine the GCF of the coefficients (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 is \(6\).

  2. Express the GCF of the entire expression:

    • Both terms do not have a common variable factor, so we do not include any variables in the GCF.

Therefore, the GCF of \(30m + 12n\) is \(6\).