A logistics coordinator is organizing inventory for three different types of industrial shelving units. The quantities of spare parts for these units are represented by the expressions ${}21x^3$, ${}9x^2$, and ${}15x$. To bundle these parts into the largest possible uniform groups, the coordinator must determine the greatest common factor (GCF). What is the GCF of these three expressions?

An operations manager is standardizing the batch sizes for three production runs modeled by the algebraic expressions ${}21x^3$, ${}9x^2$, and ${}15x$. Arrange the following steps in the correct order to determine the Greatest Common Factor (GCF) of these quantities using the prime factorization method.

A facility manager is reviewing the square footage of three storage units, which are represented by the algebraic expressions ${}21x^3$, ${}9x^2$, and ${}15x$. To optimize the layout, the manager needs to identify the Greatest Common Factor (GCF) of these three expressions. The GCF is ____.

An inventory analyst is standardizing bin sizes for three types of mechanical components with quantities represented by the algebraic expressions ${}21x^3$, ${}9x^2$, and ${}15x$. Match each component of the GCF analysis with its corresponding value or expanded expression.

A procurement specialist is evaluating bulk orders from three different suppliers, with the quantities represented by the algebraic expressions ${}21x^3$, ${}9x^2$, and ${}15x$. When identifying the Greatest Common Factor (GCF) to determine the standard pallet size, the specialist recalls that the maximum variable factor shared across all three expressions is $x^2$.