Question

Find the greatest common factor of these two expressions.

20y^2 w^3 v^5 and 16y^8 w^6

Answer 1

The greatest common factor (GCF) of the given expressions 20y^2 w^3 v^5 and 16y^8 w^6 is 4y^2 w^2.

Step-by-step explanation:

To find the greatest common factor (GCF) of the given expressions, we need to factorize both expressions and identify the common factors.

Let's start with the first expression, 20y^2 w^3 v^5.

We can factorize it as 2 * 2 * 5 * y * y * w * w * w * v * v * v * v * v.

Now let's factorize the second expression, 16y^8 w^6.

It can be broken down as 2 * 2 * 2 * 2 * y * y * y * y * y * y * y * y * w * w * w * w * w * w.

Comparing the two factorizations, we can see that the common factors are 2 * 2 * y * y * w * w.

Therefore, the GCF of the given expressions is 4y^2 w^2.