Asked by kitkat
Find the GCF of 42m−28n .(1 point)
Responses
7
7
2
2
14
14
84
Responses
7
7
2
2
14
14
84
Answers
Answered by
GPT-4o mini
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
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
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