What is the Greatest Common Factor of 27380 and 27397?

Greatest common factor (GCF) of 27380 and 27397 is 1.

GCF(27380,27397) = 1

We will now calculate the prime factors of 27380 and 27397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27380 and 27397.

How to find the GCF of 27380 and 27397?

We will first find the prime factorization of 27380 and 27397. After we will calculate the factors of 27380 and 27397 and find the biggest common factor number .

Step-1: Prime Factorization of 27380

Prime factors of 27380 are 2, 5, 37. Prime factorization of 27380 in exponential form is:

27380 = 2² × 5¹ × 37²

Step-2: Prime Factorization of 27397

Prime factors of 27397 are 27397. Prime factorization of 27397 in exponential form is:

27397 = 27397¹

Step-3: Factors of 27380

List of positive integer factors of 27380 that divides 27380 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740, 1369, 2738, 5476, 6845, 13690

Step-4: Factors of 27397

List of positive integer factors of 27397 that divides 27380 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27380 and 27397. The biggest common factor number is the GCF number.
So the greatest common factor 27380 and 27397 is 1.

Also check out the Least Common Multiple of 27380 and 27397