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Finding the Greatest Common Factor
The greatest common factor of two or more numbers is the greatest number that is a factor of every number.
   There are two methods for finding the GCF.1.  Listing the factors2.  Using the Ladder
To find the GCF of two numbers using a list, list the factors of one number.  Then list the factors of the second number.  The GCF is the greatest value that appears on both lists.
1. Make a list to find the GCF of 18 and 3018:  1, 2, 3, 6, 9, 1830: 1, 2, 3, 5, 6, 10, 15, 30 THE GCF of 18 and 30 is 6.
To find the GCF of two numbers using the ladder method, determine a prime number that you can divide evenly into each number.  Write the number on the side and divide.  Continue as far as you can!
2. Use a ladder to find the GCF of 27 and 36 3  27 36  3 x 3 =9 so the GCF is 9 9 12 3  3 4

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Find GCF

  • 1. Finding the Greatest Common Factor
  • 2. The greatest common factor of two or more numbers is the greatest number that is a factor of every number.
  • 3. There are two methods for finding the GCF.1. Listing the factors2. Using the Ladder
  • 4. To find the GCF of two numbers using a list, list the factors of one number. Then list the factors of the second number. The GCF is the greatest value that appears on both lists.
  • 5. 1. Make a list to find the GCF of 18 and 3018: 1, 2, 3, 6, 9, 1830: 1, 2, 3, 5, 6, 10, 15, 30 THE GCF of 18 and 30 is 6.
  • 6. To find the GCF of two numbers using the ladder method, determine a prime number that you can divide evenly into each number. Write the number on the side and divide. Continue as far as you can!
  • 7. 2. Use a ladder to find the GCF of 27 and 36 3 27 36 3 x 3 =9 so the GCF is 9 9 12 3 3 4