What is the Greatest Common Factor of 18090 and 18095?

Greatest common factor (GCF) of 18090 and 18095 is 5.

GCF(18090,18095) = 5

We will now calculate the prime factors of 18090 and 18095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18090 and 18095.

How to find the GCF of 18090 and 18095?

We will first find the prime factorization of 18090 and 18095. After we will calculate the factors of 18090 and 18095 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 18095

Prime factors of 18095 are 5, 7, 11, 47. Prime factorization of 18095 in exponential form is:

18095 = 5¹ × 7¹ × 11¹ × 47¹

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 18095

List of positive integer factors of 18095 that divides 18090 without a remainder.

1, 5, 7, 11, 35, 47, 55, 77, 235, 329, 385, 517, 1645, 2585, 3619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18090 and 18095. The biggest common factor number is the GCF number.
So the greatest common factor 18090 and 18095 is 5.

Also check out the Least Common Multiple of 18090 and 18095