Find the GCF of 42m - 28n.(1 point)
The GCF (Greatest Common Factor) of the terms 42m and 28n is 14.
To find the Greatest Common Factor (GCF) of 42m and 28n, we need to look for the highest factor that divides both terms.
Step 1: Find the prime factors of 42m:
- 42 = 2 * 3 * 7
- m has no prime factors since it is a variable.
Step 2: Find the prime factors of 28n:
- 28 = 2 * 2 * 7
- n has no prime factors since it is a variable.
Step 3: Identify the common prime factors:
- Both 42m and 28n have a factor of 2 and 7.
Step 4: Determine the GCF:
- The highest common factor between 42m and 28n is 2 * 7 = 14.
Therefore, the GCF of 42m and 28n is 14.
To find the greatest common factor (GCF) of a given expression, you need to first factor out the common factors from each term.
Let's factor out the common factors from the terms 42m and 28n:
42m = 2 * 3 * 7 * m
28n = 2 * 2 * 7 * n
Now, identify the common factors shared by both terms. In our case, the common factors are 2 and 7.
Therefore, the GCF of 42m and 28n is 2 * 7 = 14.
So, the GCF of 42m - 28n is 14.