Asked by ψ(｀∇´)ψ
Find the GCF of 42m−28n .(1 point)
Responses
14
14
2
2
7
7
84
Responses
14
14
2
2
7
7
84
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To find the greatest common factor (GCF) of the expression \(42m - 28n\), we need to identify the GCF of the coefficients \(42\) and \(28\).
1. **Factor the coefficients:**
- The prime factorization of \(42\) is \(2 \times 3 \times 7\).
- The prime factorization of \(28\) is \(2^2 \times 7\).
2. **Identify the common factors:**
- The common prime factors are \(2\) and \(7\).
3. **Determine the lowest power of each common factor:**
- For \(2\), the lowest power is \(2^1\).
- For \(7\), the lowest power is \(7^1\).
4. **Calculate the GCF:**
\[
GCF = 2^1 \times 7^1 = 2 \times 7 = 14
\]
Thus, the GCF of \(42m - 28n\) is \(14\).
The correct response is **14**.
1. **Factor the coefficients:**
- The prime factorization of \(42\) is \(2 \times 3 \times 7\).
- The prime factorization of \(28\) is \(2^2 \times 7\).
2. **Identify the common factors:**
- The common prime factors are \(2\) and \(7\).
3. **Determine the lowest power of each common factor:**
- For \(2\), the lowest power is \(2^1\).
- For \(7\), the lowest power is \(7^1\).
4. **Calculate the GCF:**
\[
GCF = 2^1 \times 7^1 = 2 \times 7 = 14
\]
Thus, the GCF of \(42m - 28n\) is \(14\).
The correct response is **14**.
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