What is the Greatest Common Factor of 27183 and 27193?

Greatest common factor (GCF) of 27183 and 27193 is 1.

GCF(27183,27193) = 1

We will now calculate the prime factors of 27183 and 27193, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27183 and 27193.

How to find the GCF of 27183 and 27193?

We will first find the prime factorization of 27183 and 27193. After we will calculate the factors of 27183 and 27193 and find the biggest common factor number .

Step-1: Prime Factorization of 27183

Prime factors of 27183 are 3, 13, 17, 41. Prime factorization of 27183 in exponential form is:

27183 = 3¹ × 13¹ × 17¹ × 41¹

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 27183

List of positive integer factors of 27183 that divides 27183 without a remainder.

1, 3, 13, 17, 39, 41, 51, 123, 221, 533, 663, 697, 1599, 2091, 9061

Step-4: Factors of 27193

List of positive integer factors of 27193 that divides 27183 without a remainder.

1, 71, 383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27183 and 27193. The biggest common factor number is the GCF number.
So the greatest common factor 27183 and 27193 is 1.

Also check out the Least Common Multiple of 27183 and 27193