Find the GCF of 42m−28n

Question

.(1 point)
Responses

14
14

7
7

84
84

2

Answer 1

To find the greatest common factor (GCF) of the expression \( 42m - 28n \), we start by identifying the coefficients of the terms:

1. The coefficient of \( m \) is 42.
2. The coefficient of \( n \) is 28.

Now, we need to find the GCF of 42 and 28.

We can do this by listing the factors:

• Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42
• Factors of 28: 1, 2, 4, 7, 14, 28

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

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