pdf Greatest Common Factor - A

Tagged in 4.OA.B.4, 6.NS, 6th grade, common factors, divisibility, factorization, factors, gcf, greatest common factor, step by step method, whole numbers

Greatest Common Factor - A

This worksheet teaches students how to find the greatest common factor using a structured, step-by-step gradual method. Instead of expecting students to immediately recognize the GCF, the method guides them to start with any shared factor, repeatedly divide both numbers, and continue until no common factors remain. Students then multiply the factors used to determine the final greatest common factor. This approach makes GCF accessible to students who struggle with mental factorization.

After working through a fully explained example, students apply the same process to a variety of number pairs with increasing complexity. The consistent structure emphasizes reasoning, organization, and accuracy, helping students understand why the method works rather than relying on shortcuts.


Skills Assessed

  • Finding the greatest common factor of two whole numbers

  • Using repeated division to identify common factors

  • Applying a structured problem-solving strategy

  • Understanding factorization as a process


Details

  • 2 pages

  • Answer key included

ID# 0239