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Greatest Common Factor
The greatest common factor (GCF) is the largest number that divides both numbers. There are two methods to find the GCF: listing the factors of each number, where the GCF is the largest shared factor, or using a ladder method where you divide both numbers by their common prime factors until only one number remains. The document provides examples of finding the GCF of 18 and 30 by listing factors, and of 27 and 36 using the ladder method.
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Introduction to the concept of the Greatest Common Factor (GCF) of numbers.
Overview of two methods for finding GCF: Listing factors and Ladder method.Using the ladder method with prime factors to find GCF of 27 and 36, resulting in GCF of 9.
Greatest Common Factor
- 1. Finding the GreatestCommon Factor
- 2. The greatest commonfactor of two or more numbers is the greatest number that is a factor of every number.
- 3.
- 4. To find theGCF 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 alist to find the GCF of 18 and 3018: 1, 2, 3, 6, 9, 1830: 1, 2, 3, 5, 6, 10, 15, 30THE GCF of 18 and 30 is 6.
- 6. To find theGCF 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 aladder to find the GCF of 27 and 363 27 36 3 x 3 =9 so the GCF is 99 123 3 4