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Find the greatest common factor of
21v², 6, and 2v

1 Answer

7 votes

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.

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