What is the Greatest Common Factor of 90180 and 90198?

Greatest common factor (GCF) of 90180 and 90198 is 18.

GCF(90180,90198) = 18

We will now calculate the prime factors of 90180 and 90198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90180 and 90198.

How to find the GCF of 90180 and 90198?

We will first find the prime factorization of 90180 and 90198. After we will calculate the factors of 90180 and 90198 and find the biggest common factor number .

Step-1: Prime Factorization of 90180

Prime factors of 90180 are 2, 3, 5, 167. Prime factorization of 90180 in exponential form is:

90180 = 2² × 3³ × 5¹ × 167¹

Step-2: Prime Factorization of 90198

Prime factors of 90198 are 2, 3, 5011. Prime factorization of 90198 in exponential form is:

90198 = 2¹ × 3² × 5011¹

Step-3: Factors of 90180

List of positive integer factors of 90180 that divides 90180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 167, 180, 270, 334, 501, 540, 668, 835, 1002, 1503, 1670, 2004, 2505, 3006, 3340, 4509, 5010, 6012, 7515, 9018, 10020, 15030, 18036, 22545, 30060, 45090

Step-4: Factors of 90198

List of positive integer factors of 90198 that divides 90180 without a remainder.

1, 2, 3, 6, 9, 18, 5011, 10022, 15033, 30066, 45099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90180 and 90198. The biggest common factor number is the GCF number.
So the greatest common factor 90180 and 90198 is 18.

Also check out the Least Common Multiple of 90180 and 90198