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How to Find the Greatest Common Factor (GCF) of Two Numbers

The greatest common factor (GCF) of two or more numbers is the largest number that divides all the given numbers without a remainder. There are two methods to find the GCF: 1) Listing the factors: List all factors of each number and identify the greatest common one. 2) Using the ladder method: Start with a prime number that divides both numbers, and continue dividing until you cannot anymore. For example, the GCF of 18 and 30 is 6, and for 27 and 36, it is 9. This guide simplifies finding the GCF using these methods.

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How to Find the Greatest Common Factor (GCF) of Two Numbers

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  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 27 36 3 3 x 3 =9 so the GCF is 9 3 9 12 3 4

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