Question

Factor Algebraic Expressions Quick Check
2 of 52 of 5 Items
Question
Find the GCF of 42m−28n
.(1 point)
Responses

14
14

7
7

2
2

84

Answer 1

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

1. **Find the factors of 42:**
- 42 = 1, 2, 3, 6, 7, 14, 21, 42

2. **Find the factors of 28:**
- 28 = 1, 2, 4, 7, 14, 28

3. **Identify the greatest common factor:**
The common factors of 42 and 28 are 1, 2, 7, and 14. The greatest of these is 14.

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

Therefore, the correct response is:
**14**.