What is the Greatest Common Factor of 36198 and 36218?

Greatest common factor (GCF) of 36198 and 36218 is 2.

GCF(36198,36218) = 2

We will now calculate the prime factors of 36198 and 36218, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36198 and 36218.

How to find the GCF of 36198 and 36218?

We will first find the prime factorization of 36198 and 36218. After we will calculate the factors of 36198 and 36218 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 36218

Prime factors of 36218 are 2, 7, 13, 199. Prime factorization of 36218 in exponential form is:

36218 = 2¹ × 7¹ × 13¹ × 199¹

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 36218

List of positive integer factors of 36218 that divides 36198 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 199, 398, 1393, 2587, 2786, 5174, 18109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36198 and 36218. The biggest common factor number is the GCF number.
So the greatest common factor 36198 and 36218 is 2.

Also check out the Least Common Multiple of 36198 and 36218