What is the Greatest Common Factor of 27188 and 27193?

Greatest common factor (GCF) of 27188 and 27193 is 1.

GCF(27188,27193) = 1

We will now calculate the prime factors of 27188 and 27193, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27188 and 27193.

How to find the GCF of 27188 and 27193?

We will first find the prime factorization of 27188 and 27193. After we will calculate the factors of 27188 and 27193 and find the biggest common factor number .

Step-1: Prime Factorization of 27188

Prime factors of 27188 are 2, 7, 971. Prime factorization of 27188 in exponential form is:

27188 = 2² × 7¹ × 971¹

Step-2: Prime Factorization of 27193

Prime factors of 27193 are 71, 383. Prime factorization of 27193 in exponential form is:

27193 = 71¹ × 383¹

Step-3: Factors of 27188

List of positive integer factors of 27188 that divides 27188 without a remainder.

1, 2, 4, 7, 14, 28, 971, 1942, 3884, 6797, 13594

Step-4: Factors of 27193

List of positive integer factors of 27193 that divides 27188 without a remainder.

1, 71, 383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27188 and 27193. The biggest common factor number is the GCF number.
So the greatest common factor 27188 and 27193 is 1.

Also check out the Least Common Multiple of 27188 and 27193