What is the Greatest Common Factor of 18090 and 18108?

Greatest common factor (GCF) of 18090 and 18108 is 18.

GCF(18090,18108) = 18

We will now calculate the prime factors of 18090 and 18108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18090 and 18108.

How to find the GCF of 18090 and 18108?

We will first find the prime factorization of 18090 and 18108. After we will calculate the factors of 18090 and 18108 and find the biggest common factor number .

Step-1: Prime Factorization of 18090

Prime factors of 18090 are 2, 3, 5, 67. Prime factorization of 18090 in exponential form is:

18090 = 2¹ × 3³ × 5¹ × 67¹

Step-2: 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-3: Factors of 18090

List of positive integer factors of 18090 that divides 18090 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 67, 90, 134, 135, 201, 270, 335, 402, 603, 670, 1005, 1206, 1809, 2010, 3015, 3618, 6030, 9045

Step-4: Factors of 18108

List of positive integer factors of 18108 that divides 18090 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18090 and 18108. The biggest common factor number is the GCF number.
So the greatest common factor 18090 and 18108 is 18.

Also check out the Least Common Multiple of 18090 and 18108