# How do you find the GCF of the terms of the polynomial 50x^4+4x^4?

Dec 4, 2016

Both terms have $2 {x}^{4}$, this is the GCF.

#### Explanation:

Write the numbers as the product of their prime factors.

$50 {x}^{4} = 2 \times 5 \times 5 \times {x}^{4}$
$4 {x}^{4} = 2 \times {x}^{4}$

Both terms have $2 {x}^{4}$, this is the GCF.

The first thing to notice is that both numbers are even, therefore 2 is an obvious common factor.