What is the Greatest Common Factor of 27324 and 27340?

Greatest common factor (GCF) of 27324 and 27340 is 4.

GCF(27324,27340) = 4

We will now calculate the prime factors of 27324 and 27340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27324 and 27340.

How to find the GCF of 27324 and 27340?

We will first find the prime factorization of 27324 and 27340. After we will calculate the factors of 27324 and 27340 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 27340

Prime factors of 27340 are 2, 5, 1367. Prime factorization of 27340 in exponential form is:

27340 = 2² × 5¹ × 1367¹

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 27340

List of positive integer factors of 27340 that divides 27324 without a remainder.

1, 2, 4, 5, 10, 20, 1367, 2734, 5468, 6835, 13670

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27324 and 27340. The biggest common factor number is the GCF number.
So the greatest common factor 27324 and 27340 is 4.

Also check out the Least Common Multiple of 27324 and 27340