What is the Greatest Common Factor of 27331 and 27348?

Greatest common factor (GCF) of 27331 and 27348 is 1.

GCF(27331,27348) = 1

We will now calculate the prime factors of 27331 and 27348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27331 and 27348.

How to find the GCF of 27331 and 27348?

We will first find the prime factorization of 27331 and 27348. After we will calculate the factors of 27331 and 27348 and find the biggest common factor number .

Step-1: Prime Factorization of 27331

Prime factors of 27331 are 151, 181. Prime factorization of 27331 in exponential form is:

27331 = 151¹ × 181¹

Step-2: Prime Factorization of 27348

Prime factors of 27348 are 2, 3, 43, 53. Prime factorization of 27348 in exponential form is:

27348 = 2² × 3¹ × 43¹ × 53¹

Step-3: Factors of 27331

List of positive integer factors of 27331 that divides 27331 without a remainder.

1, 151, 181

Step-4: Factors of 27348

List of positive integer factors of 27348 that divides 27331 without a remainder.

1, 2, 3, 4, 6, 12, 43, 53, 86, 106, 129, 159, 172, 212, 258, 318, 516, 636, 2279, 4558, 6837, 9116, 13674

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27331 and 27348. The biggest common factor number is the GCF number.
So the greatest common factor 27331 and 27348 is 1.

Also check out the Least Common Multiple of 27331 and 27348