Find the GCF of 42m−28n .(1 point)
Responses
14
14
7
7
2
2
84
The GCF of 42m and 28n is 14.
Use properties of operations to factor 8w + 16 using the GCF. (1 point)
Responses
6(2w + 10)
6 Left Parenthesis 2 w plus 10 Right Parenthesis
4(2w + 4)
4 Left Parenthesis 2 w plus 4 Right Parenthesis
8(w + 2)
8 Left Parenthesis w plus 2 Right Parenthesis
2(4w + 8)
The correct answer is: 4(2w + 4)
To find the greatest common factor (GCF) of 42m - 28n, we need to find the largest number that divides both 42 and 28 evenly.
First, let's list the factors of 42 and 28:
Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42
Factors of 28: 1, 2, 4, 7, 14, 28
Now, we can see that the common factors of 42 and 28 are: 1, 2, 7, and 14.
Since we are also dealing with variables, we need to consider the variables m and n. In this case, both terms have m as a common factor, but there is no common factor of n.
So, the GCF of 42m - 28n is 14m.