how do you factor this completely?

Question

105x6y2z3 - 98x4y3z2 + 84x3y4z5

Answer 1

105X^6Y^2Z^3-98X^4Y^3Z^2 - 84X^3Y^4Z^5.

7X^3Y^2Z^2(15X^3Z - 14XYZ + 12Y^2Z^3).

GCF =< 84(the smallest coefficient.
With the above inequality in mine, I
found the smallest number(7) that each of the coefficients are divisible by.
Then I selected X,Y, and Z with the
lowest exponent and placed them in front of the ( ).