Question

Find the GCF of the following literal terms xxyyyzz and xxxxzzz

Answer 1

Answer:

x^2z^2

Step-by-step explanation:

Look atthe factors they have in common.

xxyyyzz and xxxxzzz

GCF = x^2z^2

Answer 2

Answer:

Thus, the GFC will be $x^2z^2.$

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:

$xxyyzz = x^2y^2z^2$

$xxxxzzz = x^4z^3$

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 $x^2z^2.$