What is the greatest common factor of 5x^7+30x^4+10x^4?

5x^4

Step-by-step explanation:

When you need to find the GCF where there is multiple terms and variables, start by looking at them one at a time and break the terms apart.

GCF of 5, 30, and 10: 5

Factors of 5: 1*5

Factors of 30: 1*30, 2*15, 3*10, 5*6

Factors of 10: 1*10, 2*5

The greatest factor that those numbers all have in common is 5.

GCF of the variables: x^4

(5) x^7: x*x*x*x*x*x*x

(30) x^4: x*x*x*x

(10) x^4: x*x*x*x

The greatest number of x's that those variables have in common is 4.

Therefore, the answer is 5x^4.