What is the Greatest Common Factor of 36198 and 36213?

Greatest common factor (GCF) of 36198 and 36213 is 3.

GCF(36198,36213) = 3

We will now calculate the prime factors of 36198 and 36213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36198 and 36213.

How to find the GCF of 36198 and 36213?

We will first find the prime factorization of 36198 and 36213. After we will calculate the factors of 36198 and 36213 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36213

Prime factors of 36213 are 3, 12071. Prime factorization of 36213 in exponential form is:

36213 = 3¹ × 12071¹

Step-3: Factors of 36198

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

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

Step-4: Factors of 36213

List of positive integer factors of 36213 that divides 36198 without a remainder.

1, 3, 12071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36198 and 36213. The biggest common factor number is the GCF number.
So the greatest common factor 36198 and 36213 is 3.

Also check out the Least Common Multiple of 36198 and 36213