Find the greatest common factor (GCF/HCF) of the following polynomials

1.	Find the greatest common factor (GCF/HCF) of the following polynomials:6x2y2, -9xy3, 3x3y2
Answer» The numerical coefficients of given numerical are 6, 9, 3 Greatest common factor of 6, 9, 3 is 3. Common literals appearing in given numerical are x and y Smallest power of x in three monomials = 1 Smallest power of y in three monomials = 2 Monomials of common literals with smallest power= xy² Hence, the greatest common factor = 3xy²

Find the greatest common factor (GCF/HCF) of the following polynomials:6x2y2, -9xy3, 3x3y2

Answer»

The numerical coefficients of given numerical are 6, 9, 3

Greatest common factor of 6, 9, 3 is 3.

Common literals appearing in given numerical are x and y

Smallest power of x in three monomials = 1

Smallest power of y in three monomials = 2

Monomials of common literals with smallest power= xy²

Hence, the greatest common factor = 3xy²