What is the Greatest Common Factor of 27324 and 27331?

Greatest common factor (GCF) of 27324 and 27331 is 1.

GCF(27324,27331) = 1

We will now calculate the prime factors of 27324 and 27331, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27324 and 27331.

How to find the GCF of 27324 and 27331?

We will first find the prime factorization of 27324 and 27331. After we will calculate the factors of 27324 and 27331 and find the biggest common factor number .

Step-1: Prime Factorization of 27324

Prime factors of 27324 are 2, 3, 11, 23. Prime factorization of 27324 in exponential form is:

27324 = 2² × 3³ × 11¹ × 23¹

Step-2: Prime Factorization of 27331

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

27331 = 151¹ × 181¹

Step-3: Factors of 27324

List of positive integer factors of 27324 that divides 27324 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 23, 27, 33, 36, 44, 46, 54, 66, 69, 92, 99, 108, 132, 138, 198, 207, 253, 276, 297, 396, 414, 506, 594, 621, 759, 828, 1012, 1188, 1242, 1518, 2277, 2484, 3036, 4554, 6831, 9108, 13662

Step-4: Factors of 27331

List of positive integer factors of 27331 that divides 27324 without a remainder.

1, 151, 181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27324 and 27331. The biggest common factor number is the GCF number.
So the greatest common factor 27324 and 27331 is 1.

Also check out the Least Common Multiple of 27324 and 27331