Answer: 6v
Explanation:
To find the greatest common factor (GCF) of 21v², 6, and 2v, you can break down each term into its prime factors and then determine the common factors.
Let's factor each term:
21v²:
21 can be factored as 3 * 7.
v² is already factored as v * v.
So, 21v² can be expressed as 3 * 7 * v * v.
6:
6 can be factored as 2 * 3.
2v:
2v is already factored as 2 * v.
Now, look for common prime factors among the terms:
The common factors are 3, 2, and v.
Now, find the GCF by multiplying these common factors:
GCF = 3 * 2 * v = 6v
So, the greatest common factor of 21v², 6, and 2v is 6v.