What is the Greatest Common Factor of 27312 and 27324?

Greatest common factor (GCF) of 27312 and 27324 is 12.

GCF(27312,27324) = 12

We will now calculate the prime factors of 27312 and 27324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27312 and 27324.

How to find the GCF of 27312 and 27324?

We will first find the prime factorization of 27312 and 27324. After we will calculate the factors of 27312 and 27324 and find the biggest common factor number .

Step-1: Prime Factorization of 27312

Prime factors of 27312 are 2, 3, 569. Prime factorization of 27312 in exponential form is:

27312 = 2⁴ × 3¹ × 569¹

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 27312

List of positive integer factors of 27312 that divides 27312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 569, 1138, 1707, 2276, 3414, 4552, 6828, 9104, 13656

Step-4: Factors of 27324

List of positive integer factors of 27324 that divides 27312 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 27312 and 27324. The biggest common factor number is the GCF number.
So the greatest common factor 27312 and 27324 is 12.

Also check out the Least Common Multiple of 27312 and 27324