How to Find the Greatest Common Factor

Factor each number completely into its prime numbers., Identify any common prime factors., Calculate: If there's  only one prime common factor, then that's your common factor.,  To demonstrate this method, study this example.

6 Steps 1 min read Medium

Step-by-Step Guide

  1. Step 1: Factor each number completely into its prime numbers.

    A prime number is number greater than 1 that has no factors but itself.

    Examples of prime numbers include 5, 17, 97, and 331, to name just a few. , Pick out any prime numbers between the set that are the same.

    There can be several common factors. , If there are multiple prime common factors, then multiply all the prime common factors together to get your greatest common factor. ,
  2. Step 2: Identify any common prime factors.

  3. Step 3: Calculate: If there's  only one prime common factor

  4. Step 4: then that's your common factor.

  5. Step 5:  To demonstrate this method

  6. Step 6: study this example.

Detailed Guide

A prime number is number greater than 1 that has no factors but itself.

Examples of prime numbers include 5, 17, 97, and 331, to name just a few. , Pick out any prime numbers between the set that are the same.

There can be several common factors. , If there are multiple prime common factors, then multiply all the prime common factors together to get your greatest common factor. ,

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Kathryn Gray

Writer and educator with a focus on practical organization knowledge.

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