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

1.	Find the greatest common factor (GCF/HCF) of the following polynomials:6x3y and 18x2y3
Answer» The numerical coefficients of given numerical are 6,18 Greatest common factor of 6, 18 is 6 Common literals appearing in given numerical are x and y Smallest power of x in both monomials= 2 Smallest power of y in both monomials = 1 Binomials of common literals with smallest power= x²y Hence, the greatest common factor = 6x²y

Find the greatest common factor (GCF/HCF) of the following polynomials:6x3y and 18x2y3

Answer»

The numerical coefficients of given numerical are 6,18

Greatest common factor of 6, 18 is 6

Common literals appearing in given numerical are x and y

Smallest power of x in both monomials= 2

Smallest power of y in both monomials = 1

Binomials of common literals with smallest power= x²y

Hence, the greatest common factor = 6x²y