A logistics coordinator is organizing three different equipment categories in a warehouse. The number of units in each category is represented by the expressions ${}14x^3$, ${}70x^2$, and ${}105x$. To optimize storage space, the coordinator needs to identify the Greatest Common Factor (GCF) of these three expressions. What is the GCF?

A production technician is calculating common factors for three batch formulas represented by the expressions ${}14x^3$, ${}70x^2$, and ${}105x$. Arrange the following steps of the prime factorization method in the correct order to determine the greatest common factor (GCF).

A production supervisor is analyzing inventory quantities across three departments, represented by the expressions ${}14x^3$, ${}70x^2$, and ${}105x$. To organize the items into consistent batches, the supervisor must identify the greatest common factor (GCF) of these three expressions. The GCF is ____.

An operations analyst is organizing production data represented by three algebraic expressions. To determine the most efficient grouping, the analyst must identify the prime factorization of each term and their shared factors. Match each expression or result with its correct mathematical components.

A production supervisor is organizing three different batches of raw materials with quantities represented by the expressions ${}14x^3$, ${}70x^2$, and ${}105x$. The supervisor determines that the Greatest Common Factor (GCF) for these three quantities is ${}14x$. True or False: The supervisor's GCF of ${}14x$ is correct.

Determining the GCF of Batch Quantities