Essay

Training on GCF Extraction for Storage Optimization

As a warehouse operations lead, you are training a new team member on how to optimize storage layouts. You have three product inventory batches represented by the algebraic expressions 21x3{}21x^3, 9x2{}9x^2, and 15x{}15x. To find the maximum uniform bundle size, you need to find their Greatest Common Factor (GCF) using the prime factorization method.

In your own words, write an explanation that recalls and outlines the exact step-by-step prime factorization method used to find the GCF of these three expressions. Specifically, include the following in your response:

  1. The prime factorization and variable expansion of each of the three expressions: 21x3{}21x^3, 9x2{}9x^2, and 15x{}15x.
  2. How to identify and align the common prime factors and variable factors shared across all three expressions.
  3. The calculation of the final GCF by multiplying the common factors together.

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Updated 2026-06-03

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