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Find the GCF of 42m−28n .(1 point)

Responses

7
7

14
14

84
84

2

1 answer

To find the greatest common factor (GCF) of the expression \( 42m - 28n \), we can first determine the GCF of the coefficients 42 and 28.

  1. Find the GCF of the coefficients:

    • The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42
    • The factors of 28 are: 1, 2, 4, 7, 14, 28
    • The common factors between 42 and 28 are: 1, 2, 7, 14
    • The greatest common factor is 14.

  2. Identify the GCF of the expression: Since both terms \( 42m \) and \( 28n \) have a common factor of 14, we can say that the GCF of the expression \( 42m - 28n \) is also 14.

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