What is the Greatest Common Factor of 36180 and 36198?

Greatest common factor (GCF) of 36180 and 36198 is 18.

GCF(36180,36198) = 18

We will now calculate the prime factors of 36180 and 36198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36180 and 36198.

How to find the GCF of 36180 and 36198?

We will first find the prime factorization of 36180 and 36198. After we will calculate the factors of 36180 and 36198 and find the biggest common factor number .

Step-1: Prime Factorization of 36180

Prime factors of 36180 are 2, 3, 5, 67. Prime factorization of 36180 in exponential form is:

36180 = 2² × 3³ × 5¹ × 67¹

Step-2: Prime Factorization of 36198

Prime factors of 36198 are 2, 3, 2011. Prime factorization of 36198 in exponential form is:

36198 = 2¹ × 3² × 2011¹

Step-3: Factors of 36180

List of positive integer factors of 36180 that divides 36180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 67, 90, 108, 134, 135, 180, 201, 268, 270, 335, 402, 540, 603, 670, 804, 1005, 1206, 1340, 1809, 2010, 2412, 3015, 3618, 4020, 6030, 7236, 9045, 12060, 18090

Step-4: Factors of 36198

List of positive integer factors of 36198 that divides 36180 without a remainder.

1, 2, 3, 6, 9, 18, 2011, 4022, 6033, 12066, 18099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36180 and 36198. The biggest common factor number is the GCF number.
So the greatest common factor 36180 and 36198 is 18.

Also check out the Least Common Multiple of 36180 and 36198