What is the Greatest Common Factor of 27309 and 27324?

Greatest common factor (GCF) of 27309 and 27324 is 3.

GCF(27309,27324) = 3

We will now calculate the prime factors of 27309 and 27324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27309 and 27324.

How to find the GCF of 27309 and 27324?

We will first find the prime factorization of 27309 and 27324. After we will calculate the factors of 27309 and 27324 and find the biggest common factor number .

Step-1: Prime Factorization of 27309

Prime factors of 27309 are 3, 9103. Prime factorization of 27309 in exponential form is:

27309 = 3¹ × 9103¹

Step-2: 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-3: Factors of 27309

List of positive integer factors of 27309 that divides 27309 without a remainder.

1, 3, 9103

Step-4: Factors of 27324

List of positive integer factors of 27324 that divides 27309 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27309 and 27324. The biggest common factor number is the GCF number.
So the greatest common factor 27309 and 27324 is 3.

Also check out the Least Common Multiple of 27309 and 27324