What is the Greatest Common Factor of 11469 and 11484?

Greatest common factor (GCF) of 11469 and 11484 is 3.

GCF(11469,11484) = 3

We will now calculate the prime factors of 11469 and 11484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11469 and 11484.

How to find the GCF of 11469 and 11484?

We will first find the prime factorization of 11469 and 11484. After we will calculate the factors of 11469 and 11484 and find the biggest common factor number .

Step-1: Prime Factorization of 11469

Prime factors of 11469 are 3, 3823. Prime factorization of 11469 in exponential form is:

11469 = 3¹ × 3823¹

Step-2: Prime Factorization of 11484

Prime factors of 11484 are 2, 3, 11, 29. Prime factorization of 11484 in exponential form is:

11484 = 2² × 3² × 11¹ × 29¹

Step-3: Factors of 11469

List of positive integer factors of 11469 that divides 11469 without a remainder.

1, 3, 3823

Step-4: Factors of 11484

List of positive integer factors of 11484 that divides 11469 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 29, 33, 36, 44, 58, 66, 87, 99, 116, 132, 174, 198, 261, 319, 348, 396, 522, 638, 957, 1044, 1276, 1914, 2871, 3828, 5742

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11469 and 11484. The biggest common factor number is the GCF number.
So the greatest common factor 11469 and 11484 is 3.

Also check out the Least Common Multiple of 11469 and 11484