What is the Greatest Common Factor of 27384 and 27396?

Greatest common factor (GCF) of 27384 and 27396 is 12.

GCF(27384,27396) = 12

We will now calculate the prime factors of 27384 and 27396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27384 and 27396.

How to find the GCF of 27384 and 27396?

We will first find the prime factorization of 27384 and 27396. After we will calculate the factors of 27384 and 27396 and find the biggest common factor number .

Step-1: Prime Factorization of 27384

Prime factors of 27384 are 2, 3, 7, 163. Prime factorization of 27384 in exponential form is:

27384 = 2³ × 3¹ × 7¹ × 163¹

Step-2: Prime Factorization of 27396

Prime factors of 27396 are 2, 3, 761. Prime factorization of 27396 in exponential form is:

27396 = 2² × 3² × 761¹

Step-3: Factors of 27384

List of positive integer factors of 27384 that divides 27384 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 163, 168, 326, 489, 652, 978, 1141, 1304, 1956, 2282, 3423, 3912, 4564, 6846, 9128, 13692

Step-4: Factors of 27396

List of positive integer factors of 27396 that divides 27384 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 761, 1522, 2283, 3044, 4566, 6849, 9132, 13698

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27384 and 27396. The biggest common factor number is the GCF number.
So the greatest common factor 27384 and 27396 is 12.

Also check out the Least Common Multiple of 27384 and 27396