The greatest common factor (GCF) of x^3, x^7, x^9 is ?
Please help

Step-by-step explanation:

Let the greatest common factor of such that and they are not all equal to zero, is the common divisor of and . Therefore, and

You can write

The greatest common factor of is given as

and

This happens because is upper bounded because if then

for all . Therefore, the set has the greatest elements.

Taking such that

You can note that and

Therefore, the greatest common factor is

Note: