What is the Greatest Common Factor of 13804 and 13818?

Greatest common factor (GCF) of 13804 and 13818 is 14.

GCF(13804,13818) = 14

We will now calculate the prime factors of 13804 and 13818, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13804 and 13818.

How to find the GCF of 13804 and 13818?

We will first find the prime factorization of 13804 and 13818. After we will calculate the factors of 13804 and 13818 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 13818

Prime factors of 13818 are 2, 3, 7, 47. Prime factorization of 13818 in exponential form is:

13818 = 2¹ × 3¹ × 7² × 47¹

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 13818

List of positive integer factors of 13818 that divides 13804 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 47, 49, 94, 98, 141, 147, 282, 294, 329, 658, 987, 1974, 2303, 4606, 6909

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13804 and 13818. The biggest common factor number is the GCF number.
So the greatest common factor 13804 and 13818 is 14.

Also check out the Least Common Multiple of 13804 and 13818