Answer:
You greatest common factor is
[tex]3t^{2}[/tex]
Step-by-step explanation:
You need to find a number and letter which goes into both monomials.
[tex]6t^{3}z^{5}[/tex],[tex]3t^{2}[/tex]
Split both monomials up, into each integer and letter.
INTERGERS: 6, 3
LETTER t: [tex]t^{3}[/tex],[tex]t^{2}[/tex]
LETTER z: [tex]z^{5}[/tex]
3 goes into 6 and 3.
[tex]t^{2}[/tex] goes into [tex]t^{3}[/tex] and [tex]t^{2}[/tex].
Nothing goes into [tex]z^{5}[/tex] and 0.
You greatest common factor is
[tex]3t^{2}[/tex]
Therefore
[tex]3t^{2} (tz^{5} , 1) = 3t^{3}z^{5} ,3t^{2}[/tex]
