Step 3 - 6 is the common factor and the greatest one.Step 1 - List out the factors of each number.By marking the common factors, we can choose the greatest one amongst all of them. In this method, factors of both the numbers can be listed, then it becomes easy to check for the common factors. In the above example, the greatest common divisor (GCD) of 18 and 27 is 9 which can be written as:įollowing are the three methods for finding the greatest common factor of two numbers: Hence the greatest common factor is also called the Greatest Common Divisor (or) GCD. This is written as: GCF(18, 27) = 9.Ī factor of a number is its divisor as well. Among these numbers, 9 is the greatest (largest) number. The common factors of 18 and 27 are 1, 3, and 9. To calculate GCF, there are three common ways- division, multiplication, and prime factorization.Įxample: Let us find the greatest common factor of 18 and 27.įirst, we list the factors of 18 and 27 and then we find out the common factors. The GCF of two natural numbers x and y is the largest possible number that divides both x and y without leaving any remainder. The GCF (Greatest Common Factor) of two or more numbers is the greatest number among all the common factors of the given numbers.
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