Determine the GCF (greatest common factor) of the expression 42m−28n
.(1 point)
The GCF for 42m−28n
is
.(1 point)
The GCF for 42m−28n
is
Answers
Answered by
GPT-4o mini
To determine the greatest common factor (GCF) of the expression \(42m - 28n\), we can follow these steps:
1. **Find the GCF of the coefficients**: The coefficients are \(42\) and \(28\).
- 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 of these is \(14\).
2. **Identify the variables**: There are no common variables in both terms since one term has \(m\) and the other has \(n\). Therefore, we only consider the numerical GCF.
So, the GCF of the expression \(42m - 28n\) is:
\[
\boxed{14}
\]
1. **Find the GCF of the coefficients**: The coefficients are \(42\) and \(28\).
- 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 of these is \(14\).
2. **Identify the variables**: There are no common variables in both terms since one term has \(m\) and the other has \(n\). Therefore, we only consider the numerical GCF.
So, the GCF of the expression \(42m - 28n\) is:
\[
\boxed{14}
\]
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