60x^3yz^2, 84y^3z^2

Question

Finding GCF of each set of numbers

Answer 1

 

GCF ( 60 X^3 Y Z^2, 84 y^3 Z ^2) =GCF  ( 2^2 . 3 . 5 X^3 Y Z^2, 2^ 2 . 3 . 7 Y^3 Z^2)

                                                    

                                                     = 2^2 .3 Y Z^2= 12 Y Z^2.

 

   GCF of 2 number is : The product of lowest exponent of the common factor.

Answer 2

60x^3yz^2 = 2*2*3*5*x*x*x*y*z*z

 

84y^3z^2 = 2*2*3*7*y*y*y*z*z

 

GCF = 2*2*3*y*z*z because all these prime factors are in both expressions

 

GCF = 12yz^2