What is the Greatest Common Factor of 27392 and 27399?

Greatest common factor (GCF) of 27392 and 27399 is 1.

GCF(27392,27399) = 1

We will now calculate the prime factors of 27392 and 27399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27392 and 27399.

How to find the GCF of 27392 and 27399?

We will first find the prime factorization of 27392 and 27399. After we will calculate the factors of 27392 and 27399 and find the biggest common factor number .

Step-1: Prime Factorization of 27392

Prime factors of 27392 are 2, 107. Prime factorization of 27392 in exponential form is:

27392 = 2⁸ × 107¹

Step-2: Prime Factorization of 27399

Prime factors of 27399 are 3, 9133. Prime factorization of 27399 in exponential form is:

27399 = 3¹ × 9133¹

Step-3: Factors of 27392

List of positive integer factors of 27392 that divides 27392 without a remainder.

1, 2, 4, 8, 16, 32, 64, 107, 128, 214, 256, 428, 856, 1712, 3424, 6848, 13696

Step-4: Factors of 27399

List of positive integer factors of 27399 that divides 27392 without a remainder.

1, 3, 9133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27392 and 27399. The biggest common factor number is the GCF number.
So the greatest common factor 27392 and 27399 is 1.

Also check out the Least Common Multiple of 27392 and 27399