gcf of 42m-28n
The greatest common factor (GCF) of 42m-28n is 14.
To find the greatest common factor (GCF) of 42m and 28n, we need to factorize both terms.
First, let's look at 42m:
- The number 42 can be factored into 2 * 3 * 7.
- The letter m has no factors, as it is a variable.
Now, let's examine 28n:
- The number 28 can be factored into 2 * 2 * 7.
- The letter n has no factors, as it is a variable.
To find the GCF, we need to identify the common factors in both terms. In this case, the common factor is 2 * 7, which is equal to 14.
However, we also need to consider the variables. Since there is no variable common to both terms, we are left with only the numerical part. Therefore, the GCF of 42m and 28n is 14.
To find the greatest common factor (GCF) of the terms 42m and 28n, we need to find the largest number or term that divides both 42m and 28n.
Step 1: Break down both terms into their prime factors.
42m = 2 * 3 * 7 * m
28n = 2 * 2 * 7 * n
Step 2: Identify the common prime factors.
The common prime factors are 2 and 7.
Step 3: Determine the minimum exponent for each common factor.
For the common factor 2, we take the minimum exponent of 1 (from 42m) and 2 (from 28n).
For the common factor 7, we take the minimum exponent of 1 (from 42m) and 1 (from 28n).
Step 4: Write the GCF.
The GCF of 42m and 28n is 2 * 7 = 14.
Therefore, the GCF of 42m and 28n is 14.