Answer
Process to find GCF of the polynomial follow following steps
1. Break the every term of polynomial into prime factors.
2. Look for factors that appear common in every single term to determine the GCF.
3. Multiplication of the common factors results in GCF
Work Step by Step
Example-
Let us consider a polynomial 6$x^{2}$ + $14x y^{2}$ - 42$xy$ -2$x^{2}y^{2}$
For finding the GCF of the polynomial we follow following steps
1. Break the every term of polynomial into prime factors.
6$x^{2}$ = 2$\times$3$\times$$x$$\times$$x$.
$14x y^{2}$ = 2$\times$7$\times$$x$$\times$$y$$\times$$y$.
42$xy$ = 2$\times$3$\times$7$\times$$x$$\times$$y$.
2$x^{2}y^{2}$ = 2$\times$$x$$\times$$x$$\times$$y$$\times$$y$.
2. Look for factors that appear common in every single term to determine the GCF.
Common factors = 2, $x$.
3. Multiplication of the common factors results in GCF
So the GCF of given polynomial = 2$x$.
