Essay

Developing an Inventory Grouping Standard Operating Guide

You are a production scheduling supervisor at a logistics warehouse. To train a new inventory associate, you are writing a standard operating guide on how to organize items into equal batch sizes. You decide to use three category quantities modeled by the expressions 14x3{}14x^3, 70x2{}70x^2, and 105x{}105x as an example.

Write an instructional guide that recalls and outlines the step-by-step prime factorization method to find the greatest common factor (GCF) of these three quantities.

In your guide, you must retrieve and clearly state:

  1. The prime factorization of each coefficient and the expansion of the variable factors for 14x3{}14x^3, 70x2{}70x^2, and 105x{}105x.
  2. The specific numerical and variable factors that are common to all three expressions.
  3. How to calculate the final GCF from those common factors, and state the final GCF.

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Updated 2026-06-17

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