Find the GCF of 42m minus 28n
To find the greatest common factor (GCF) of 42m minus 28n, we need to factor out any common factors from both terms.
The prime factorization of 42m is 2 * 3 * 7 * m.
The prime factorization of 28n is 2 * 2 * 7 * n.
To find the GCF, we need to identify the highest power of each common factor that appears in both terms.
The common factors are 2 and 7.
The highest power of 2 is 2^1, and the highest power of 7 is 7^1.
Therefore, the GCF of 42m minus 28n is 2 * 7, which is equal to 14.
To find the greatest common factor (GCF) of 42m and 28n, we need to factorize both terms.
Step 1: Factorize 42m:
42 can be factored as 2 * 3 * 7.
m has no other factors.
So, 42m can be written as (2 * 3 * 7)m.
Step 2: Factorize 28n:
28 can be factored as 2 * 2 * 7.
n has no other factors.
So, 28n can be written as (2 * 2 * 7)n.
Step 3: Find the common factors:
The common factors of 42m and 28n are the factors they have in common. In this case, the factors in common are 2, 7, and 'm' or 'n'.
Step 4: Determine the GCF:
The GCF is the product of the common factors. Therefore, the GCF of 42m and 28n is 2 * 7 = 14.
In conclusion, the GCF of 42m and 28n is 14.
To find the greatest common factor (GCF) of two terms, we need to factorize those terms and identify the common factors.
First, let's factorize 42m and 28n:
42m = 2 * 3 * 7 * m
28n = 2 * 2 * 7 * n
Now, let's identify the common factors between the two factorizations:
The common factors are 2 and 7.
To find the GCF, we take the product of the common factors:
GCF(42m, 28n) = 2 * 7 = 14
Therefore, the greatest common factor of 42m minus 28n is 14.