What is the greatest common factor of 20x⁴ and 6x³

Solution:

Given 20x⁴ and 6x³

We know that factors of 20 are 1, 2, 4, 5, 10, 20

Factors of 6 are 1, 2, 3, 6

20 and 6 have a GCF of 2.

Factors of x⁴ are x, x, x, x.

Factors of x³ are x, x, x

x⁴ and x³ have a GCF of x³

Therefore, greatest common factor is 2x³

What is the greatest common factor of 20x⁴ and 6x³

Summary:

The greatest common factor of 20x⁴ and 6x³ is 2x^3.