What is the Greatest Common Factor of 13804 and 13808?

Greatest common factor (GCF) of 13804 and 13808 is 4.

GCF(13804,13808) = 4

We will now calculate the prime factors of 13804 and 13808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13804 and 13808.

How to find the GCF of 13804 and 13808?

We will first find the prime factorization of 13804 and 13808. After we will calculate the factors of 13804 and 13808 and find the biggest common factor number .

Step-1: Prime Factorization of 13804

Prime factors of 13804 are 2, 7, 17, 29. Prime factorization of 13804 in exponential form is:

13804 = 2² × 7¹ × 17¹ × 29¹

Step-2: Prime Factorization of 13808

Prime factors of 13808 are 2, 863. Prime factorization of 13808 in exponential form is:

13808 = 2⁴ × 863¹

Step-3: Factors of 13804

List of positive integer factors of 13804 that divides 13804 without a remainder.

1, 2, 4, 7, 14, 17, 28, 29, 34, 58, 68, 116, 119, 203, 238, 406, 476, 493, 812, 986, 1972, 3451, 6902

Step-4: Factors of 13808

List of positive integer factors of 13808 that divides 13804 without a remainder.

1, 2, 4, 8, 16, 863, 1726, 3452, 6904

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13804 and 13808. The biggest common factor number is the GCF number.
So the greatest common factor 13804 and 13808 is 4.

Also check out the Least Common Multiple of 13804 and 13808