What is the Greatest Common Factor of 18090 and 18109?

Greatest common factor (GCF) of 18090 and 18109 is 1.

GCF(18090,18109) = 1

We will now calculate the prime factors of 18090 and 18109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18090 and 18109.

How to find the GCF of 18090 and 18109?

We will first find the prime factorization of 18090 and 18109. After we will calculate the factors of 18090 and 18109 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 18109

Prime factors of 18109 are 7, 13, 199. Prime factorization of 18109 in exponential form is:

18109 = 7¹ × 13¹ × 199¹

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 18109

List of positive integer factors of 18109 that divides 18090 without a remainder.

1, 7, 13, 91, 199, 1393, 2587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18090 and 18109. The biggest common factor number is the GCF number.
So the greatest common factor 18090 and 18109 is 1.

Also check out the Least Common Multiple of 18090 and 18109