Find the GCF of 42m - 28n
To find the Greatest Common Factor (GCF) of 42m - 28n, we need to find the largest number or algebraic expression that can divide both 42m and 28n.
First, let's factor out the common factors of 42m and 28n.
42m = 2 x 3 x 7 x m
28n = 2 x 2 x 7 x n
Now, let's look at the common factors for both 42m and 28n:
Common factors: 2 x 7
Therefore, the GCF of 42m - 28n is 2 x 7, which can be simplified to 14.
To find the greatest common factor (GCF) of 42m - 28n, we can look for the common factors of the coefficients and the variables.
First, let's factor out the common factor of 14 from both terms:
42m = 14 * 3m
-28n = -14 * 2n
Now we can see that the GCF is 14. However, the GCF can also include the variables that are common to both terms, which in this case is "m". Therefore, the GCF of 42m - 28n is 14m.