What is the Greatest Common Factor of 36184 and 36198?

Greatest common factor (GCF) of 36184 and 36198 is 2.

GCF(36184,36198) = 2

We will now calculate the prime factors of 36184 and 36198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36184 and 36198.

How to find the GCF of 36184 and 36198?

We will first find the prime factorization of 36184 and 36198. After we will calculate the factors of 36184 and 36198 and find the biggest common factor number .

Step-1: Prime Factorization of 36184

Prime factors of 36184 are 2, 4523. Prime factorization of 36184 in exponential form is:

36184 = 2³ × 4523¹

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 36184

List of positive integer factors of 36184 that divides 36184 without a remainder.

1, 2, 4, 8, 4523, 9046, 18092

Step-4: Factors of 36198

List of positive integer factors of 36198 that divides 36184 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 36184 and 36198. The biggest common factor number is the GCF number.
So the greatest common factor 36184 and 36198 is 2.

Also check out the Least Common Multiple of 36184 and 36198