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# Greatest Common Factor

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### Greatest Common Factor

1. 1. Finding the Greatest Common Factor<br />
2. 2. The greatest common factor of two or more numbers is the greatest number that is a factor of every number.<br />
3. 3. There are two methods for finding the GCF.1. Listing the factors2. Using the Ladder<br />
4. 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.<br />
5. 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<br />THE GCF of 18 and 30 is 6.<br />
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!<br />
7. 7. 2. Use a ladder to find the GCF of 27 and 36<br />3 <br />27 36 <br />3 x 3 =9 so the GCF is 9<br />9 12<br />3 <br />3 4<br />