What is the Greatest Common Factor of 27321 and 27337?

Greatest common factor (GCF) of 27321 and 27337 is 1.

GCF(27321,27337) = 1

We will now calculate the prime factors of 27321 and 27337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27321 and 27337.

How to find the GCF of 27321 and 27337?

We will first find the prime factorization of 27321 and 27337. After we will calculate the factors of 27321 and 27337 and find the biggest common factor number .

Step-1: Prime Factorization of 27321

Prime factors of 27321 are 3, 7, 1301. Prime factorization of 27321 in exponential form is:

27321 = 3¹ × 7¹ × 1301¹

Step-2: Prime Factorization of 27337

Prime factors of 27337 are 27337. Prime factorization of 27337 in exponential form is:

27337 = 27337¹

Step-3: Factors of 27321

List of positive integer factors of 27321 that divides 27321 without a remainder.

1, 3, 7, 21, 1301, 3903, 9107

Step-4: Factors of 27337

List of positive integer factors of 27337 that divides 27321 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27321 and 27337. The biggest common factor number is the GCF number.
So the greatest common factor 27321 and 27337 is 1.

Also check out the Least Common Multiple of 27321 and 27337