What is the Greatest Common Factor of 36168 and 36188?

Greatest common factor (GCF) of 36168 and 36188 is 4.

GCF(36168,36188) = 4

We will now calculate the prime factors of 36168 and 36188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36168 and 36188.

How to find the GCF of 36168 and 36188?

We will first find the prime factorization of 36168 and 36188. After we will calculate the factors of 36168 and 36188 and find the biggest common factor number .

Step-1: Prime Factorization of 36168

Prime factors of 36168 are 2, 3, 11, 137. Prime factorization of 36168 in exponential form is:

36168 = 2³ × 3¹ × 11¹ × 137¹

Step-2: 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-3: Factors of 36168

List of positive integer factors of 36168 that divides 36168 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 137, 264, 274, 411, 548, 822, 1096, 1507, 1644, 3014, 3288, 4521, 6028, 9042, 12056, 18084

Step-4: Factors of 36188

List of positive integer factors of 36188 that divides 36168 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36168 and 36188. The biggest common factor number is the GCF number.
So the greatest common factor 36168 and 36188 is 4.

Also check out the Least Common Multiple of 36168 and 36188