What is the Greatest Common Factor of 11472 and 11484?

Greatest common factor (GCF) of 11472 and 11484 is 12.

GCF(11472,11484) = 12

We will now calculate the prime factors of 11472 and 11484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11472 and 11484.

How to find the GCF of 11472 and 11484?

We will first find the prime factorization of 11472 and 11484. After we will calculate the factors of 11472 and 11484 and find the biggest common factor number .

Step-1: Prime Factorization of 11472

Prime factors of 11472 are 2, 3, 239. Prime factorization of 11472 in exponential form is:

11472 = 2⁴ × 3¹ × 239¹

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 11472

List of positive integer factors of 11472 that divides 11472 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 239, 478, 717, 956, 1434, 1912, 2868, 3824, 5736

Step-4: Factors of 11484

List of positive integer factors of 11484 that divides 11472 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 11472 and 11484. The biggest common factor number is the GCF number.
So the greatest common factor 11472 and 11484 is 12.

Also check out the Least Common Multiple of 11472 and 11484