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Finding the Greatest Common Factor
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The greatest common factor of two or more numbers is the greatest number that is a factor of every number.
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There are two methods for finding the GCF. 1. Listing the factors 2
There are two methods for finding the GCF Listing the factors 2. Using the Ladder
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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.
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1. Make a list to find the GCF of 18 and 30 18: 1, 2, 3, 6, 9, 18 30: 1, 2, 3, 5, 6, 10, 15, 30
THE GCF of 18 and 30 is 6.
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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!
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2. Use a ladder to find the GCF of 27 and 36
3 x 3 =9 so the GCF is 9 3 9 12 3 4
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