What is the Greatest Common Factor of 18090 and 18104?

Greatest common factor (GCF) of 18090 and 18104 is 2.

GCF(18090,18104) = 2

We will now calculate the prime factors of 18090 and 18104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18090 and 18104.

How to find the GCF of 18090 and 18104?

We will first find the prime factorization of 18090 and 18104. After we will calculate the factors of 18090 and 18104 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 18104

Prime factors of 18104 are 2, 31, 73. Prime factorization of 18104 in exponential form is:

18104 = 2³ × 31¹ × 73¹

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 18104

List of positive integer factors of 18104 that divides 18090 without a remainder.

1, 2, 4, 8, 31, 62, 73, 124, 146, 248, 292, 584, 2263, 4526, 9052

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18090 and 18104. The biggest common factor number is the GCF number.
So the greatest common factor 18090 and 18104 is 2.

Also check out the Least Common Multiple of 18090 and 18104