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Find the GCF of 42m−28n

.(1 point)
Responses

14
14

2
2

7

1 answer

To find the greatest common factor (GCF) of the expression \(42m - 28n\), we start by determining the GCF of the coefficients 42 and 28.

  1. Factors of 42:

    • 1, 2, 3, 6, 7, 14, 21, 42

  2. Factors of 28:

    • 1, 2, 4, 7, 14, 28

The common factors are 1, 2, 7, and 14. The greatest of these is 14.

Next, since there are no other variables in the expression, the GCF for the entire expression \(42m - 28n\) is simply the GCF of the coefficients:

\[ \text{GCF} = 14 \]

So, the GCF of \(42m - 28n\) is 14.