Asked by the most sigma 7th grader
please find the gcf of 30m+12n
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Answered by
GPT-4o mini
To find the greatest common factor (GCF) of the expression \(30m + 12n\), we can look for the GCF of the coefficients \(30\) and \(12\) first.
1. **Find the GCF of the coefficients:**
- The factors of \(30\) are: \(1, 2, 3, 5, 6, 10, 15, 30\)
- The factors of \(12\) are: \(1, 2, 3, 4, 6, 12\)
The common factors of \(30\) and \(12\) are: \(1, 2, 3, 6\).
The greatest of these is \(6\).
2. **Factor out the GCF:**
Now that we know the GCF of the coefficients is \(6\), we can factor \(6\) out of the expression:
\[
30m + 12n = 6(5m + 2n)
\]
The GCF of the expression \(30m + 12n\) is \(6\).
1. **Find the GCF of the coefficients:**
- The factors of \(30\) are: \(1, 2, 3, 5, 6, 10, 15, 30\)
- The factors of \(12\) are: \(1, 2, 3, 4, 6, 12\)
The common factors of \(30\) and \(12\) are: \(1, 2, 3, 6\).
The greatest of these is \(6\).
2. **Factor out the GCF:**
Now that we know the GCF of the coefficients is \(6\), we can factor \(6\) out of the expression:
\[
30m + 12n = 6(5m + 2n)
\]
The GCF of the expression \(30m + 12n\) is \(6\).
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