What is the Greatest Common Factor of 27404 and 27408?

Greatest common factor (GCF) of 27404 and 27408 is 4.

GCF(27404,27408) = 4

We will now calculate the prime factors of 27404 and 27408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27404 and 27408.

How to find the GCF of 27404 and 27408?

We will first find the prime factorization of 27404 and 27408. After we will calculate the factors of 27404 and 27408 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27408

Prime factors of 27408 are 2, 3, 571. Prime factorization of 27408 in exponential form is:

27408 = 2⁴ × 3¹ × 571¹

Step-3: Factors of 27404

List of positive integer factors of 27404 that divides 27404 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

Step-4: Factors of 27408

List of positive integer factors of 27408 that divides 27404 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 571, 1142, 1713, 2284, 3426, 4568, 6852, 9136, 13704

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27404 and 27408. The biggest common factor number is the GCF number.
So the greatest common factor 27404 and 27408 is 4.

Also check out the Least Common Multiple of 27404 and 27408