Question

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

 42x²yz and 63x³y²z³

Answer 1

As we know that the numerical coefficients of given numerical are 42 and 63.

Greatest common factor of 42, 63 is 21.

Common literals appearing in given numerical are x, y and z

Smallest power of x in two monomials is 2

Smallest power of y in two monomials is 1

Smallest power of z in two monomials is 1

Monomials of common literals with smallest power is x²yz

∴ The greatest common factor = 21x²yz