What is the Greatest Common Factor of 11804 and 11814?

Greatest common factor (GCF) of 11804 and 11814 is 2.

GCF(11804,11814) = 2

We will now calculate the prime factors of 11804 and 11814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11804 and 11814.

How to find the GCF of 11804 and 11814?

We will first find the prime factorization of 11804 and 11814. After we will calculate the factors of 11804 and 11814 and find the biggest common factor number .

Step-1: Prime Factorization of 11804

Prime factors of 11804 are 2, 13, 227. Prime factorization of 11804 in exponential form is:

11804 = 2² × 13¹ × 227¹

Step-2: Prime Factorization of 11814

Prime factors of 11814 are 2, 3, 11, 179. Prime factorization of 11814 in exponential form is:

11814 = 2¹ × 3¹ × 11¹ × 179¹

Step-3: Factors of 11804

List of positive integer factors of 11804 that divides 11804 without a remainder.

1, 2, 4, 13, 26, 52, 227, 454, 908, 2951, 5902

Step-4: Factors of 11814

List of positive integer factors of 11814 that divides 11804 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 179, 358, 537, 1074, 1969, 3938, 5907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11804 and 11814. The biggest common factor number is the GCF number.
So the greatest common factor 11804 and 11814 is 2.

Also check out the Least Common Multiple of 11804 and 11814