What is the Greatest Common Factor of 36188 and 36196?

Greatest common factor (GCF) of 36188 and 36196 is 4.

GCF(36188,36196) = 4

We will now calculate the prime factors of 36188 and 36196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36188 and 36196.

How to find the GCF of 36188 and 36196?

We will first find the prime factorization of 36188 and 36196. After we will calculate the factors of 36188 and 36196 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 36196

Prime factors of 36196 are 2, 9049. Prime factorization of 36196 in exponential form is:

36196 = 2² × 9049¹

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 36196

List of positive integer factors of 36196 that divides 36188 without a remainder.

1, 2, 4, 9049, 18098

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36188 and 36196. The biggest common factor number is the GCF number.
So the greatest common factor 36188 and 36196 is 4.

Also check out the Least Common Multiple of 36188 and 36196