Find the GCF of 42m−28n .(1 point)

Question

Responses

7
7

2
2

14
14

84

Answer 1

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

1. Identify the coefficients: The coefficients are 42 and 28.

2. 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 are \(1, 2, 7, 14\).
   • The greatest among these is 14.

3. Now, we can factor out the GCF:

   • \(42m - 28n = 14(3m - 2n)\).

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

The correct response is: 14