Answer:
Thus, the GFC will be [tex]x^2z^2.[/tex]
Step-by-step explanation:
The greatest common factor of two expressions can be found with the minimum exponent of each part of the terms. In this case, each term has x and z (the second term has no y so y is not a common factor), then the GFC will be the minimum exponent of each letter:
[tex]xxyyzz = x^2y^2z^2[/tex]
[tex]xxxxzzz = x^4z^3[/tex]
Then, x has exponents 2 and 4, so we choose the minimum 2.
z has exponents 2 and 3, so we choose the minimum 2.
Thus, the GFC will be [tex]x^2z^2.[/tex]
