Find the GCF of 42m−28n .(1 point)

Question

Responses

14
14

2
2

7
7

84

Answer 1

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.