What is the Greatest Common Factor of 28188 and 28194?

Greatest common factor (GCF) of 28188 and 28194 is 6.

GCF(28188,28194) = 6

We will now calculate the prime factors of 28188 and 28194, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28188 and 28194.

How to find the GCF of 28188 and 28194?

We will first find the prime factorization of 28188 and 28194. After we will calculate the factors of 28188 and 28194 and find the biggest common factor number .

Step-1: Prime Factorization of 28188

Prime factors of 28188 are 2, 3, 29. Prime factorization of 28188 in exponential form is:

28188 = 2² × 3⁵ × 29¹

Step-2: Prime Factorization of 28194

Prime factors of 28194 are 2, 3, 37, 127. Prime factorization of 28194 in exponential form is:

28194 = 2¹ × 3¹ × 37¹ × 127¹

Step-3: Factors of 28188

List of positive integer factors of 28188 that divides 28188 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 29, 36, 54, 58, 81, 87, 108, 116, 162, 174, 243, 261, 324, 348, 486, 522, 783, 972, 1044, 1566, 2349, 3132, 4698, 7047, 9396, 14094

Step-4: Factors of 28194

List of positive integer factors of 28194 that divides 28188 without a remainder.

1, 2, 3, 6, 37, 74, 111, 127, 222, 254, 381, 762, 4699, 9398, 14097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28188 and 28194. The biggest common factor number is the GCF number.
So the greatest common factor 28188 and 28194 is 6.

Also check out the Least Common Multiple of 28188 and 28194