What is the Greatest Common Factor of 18108 and 18122?

Greatest common factor (GCF) of 18108 and 18122 is 2.

GCF(18108,18122) = 2

We will now calculate the prime factors of 18108 and 18122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18108 and 18122.

How to find the GCF of 18108 and 18122?

We will first find the prime factorization of 18108 and 18122. After we will calculate the factors of 18108 and 18122 and find the biggest common factor number .

Step-1: Prime Factorization of 18108

Prime factors of 18108 are 2, 3, 503. Prime factorization of 18108 in exponential form is:

18108 = 2² × 3² × 503¹

Step-2: Prime Factorization of 18122

Prime factors of 18122 are 2, 13, 17, 41. Prime factorization of 18122 in exponential form is:

18122 = 2¹ × 13¹ × 17¹ × 41¹

Step-3: Factors of 18108

List of positive integer factors of 18108 that divides 18108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 503, 1006, 1509, 2012, 3018, 4527, 6036, 9054

Step-4: Factors of 18122

List of positive integer factors of 18122 that divides 18108 without a remainder.

1, 2, 13, 17, 26, 34, 41, 82, 221, 442, 533, 697, 1066, 1394, 9061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18108 and 18122. The biggest common factor number is the GCF number.
So the greatest common factor 18108 and 18122 is 2.

Also check out the Least Common Multiple of 18108 and 18122