What is the Greatest Common Factor of 27384 and 27404?

Greatest common factor (GCF) of 27384 and 27404 is 4.

GCF(27384,27404) = 4

We will now calculate the prime factors of 27384 and 27404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27384 and 27404.

How to find the GCF of 27384 and 27404?

We will first find the prime factorization of 27384 and 27404. After we will calculate the factors of 27384 and 27404 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 27404

Prime factors of 27404 are 2, 13, 17, 31. Prime factorization of 27404 in exponential form is:

27404 = 2² × 13¹ × 17¹ × 31¹

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 27404

List of positive integer factors of 27404 that divides 27384 without a remainder.

1, 2, 4, 13, 17, 26, 31, 34, 52, 62, 68, 124, 221, 403, 442, 527, 806, 884, 1054, 1612, 2108, 6851, 13702

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27384 and 27404. The biggest common factor number is the GCF number.
So the greatest common factor 27384 and 27404 is 4.

Also check out the Least Common Multiple of 27384 and 27404