Finding Greatest Common Factors

Finding Greatest Common Factors

11th Grade · Math · 40 min

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Learning Objective

I can find the greatest common factor of two numbers by using the factor ladder method.

  • 1

    The greatest common factor (GCF) is the largest positive integer that divides two or more integers without leaving a remainder, and it is crucial for simplifying expressions and reducing fractions.

  • 2

    The factor ladder method, also known as the upside-down division method, systematically extracts common prime factors from given numbers.

  • 3

    To find the GCF using the factor ladder, you continuously divide by common prime factors, and the GCF is the product of all the prime factors listed on the left side of the ladder.