What is the Greatest Common Factor of 36188 and 36201?

Greatest common factor (GCF) of 36188 and 36201 is 1.

GCF(36188,36201) = 1

We will now calculate the prime factors of 36188 and 36201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36188 and 36201.

How to find the GCF of 36188 and 36201?

We will first find the prime factorization of 36188 and 36201. After we will calculate the factors of 36188 and 36201 and find the biggest common factor number .

Step-1: Prime Factorization of 36188

Prime factors of 36188 are 2, 83, 109. Prime factorization of 36188 in exponential form is:

36188 = 2² × 83¹ × 109¹

Step-2: Prime Factorization of 36201

Prime factors of 36201 are 3, 11, 1097. Prime factorization of 36201 in exponential form is:

36201 = 3¹ × 11¹ × 1097¹

Step-3: Factors of 36188

List of positive integer factors of 36188 that divides 36188 without a remainder.

1, 2, 4, 83, 109, 166, 218, 332, 436, 9047, 18094

Step-4: Factors of 36201

List of positive integer factors of 36201 that divides 36188 without a remainder.

1, 3, 11, 33, 1097, 3291, 12067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36188 and 36201. The biggest common factor number is the GCF number.
So the greatest common factor 36188 and 36201 is 1.

Also check out the Least Common Multiple of 36188 and 36201