What is the Greatest Common Factor of 18090 and 18098?

Greatest common factor (GCF) of 18090 and 18098 is 2.

GCF(18090,18098) = 2

We will now calculate the prime factors of 18090 and 18098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18090 and 18098.

How to find the GCF of 18090 and 18098?

We will first find the prime factorization of 18090 and 18098. After we will calculate the factors of 18090 and 18098 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 18098

Prime factors of 18098 are 2, 9049. Prime factorization of 18098 in exponential form is:

18098 = 2¹ × 9049¹

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 18098

List of positive integer factors of 18098 that divides 18090 without a remainder.

1, 2, 9049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18090 and 18098. The biggest common factor number is the GCF number.
So the greatest common factor 18090 and 18098 is 2.

Also check out the Least Common Multiple of 18090 and 18098