What is the Greatest Common Factor of 11544 and 11556?

Greatest common factor (GCF) of 11544 and 11556 is 12.

GCF(11544,11556) = 12

We will now calculate the prime factors of 11544 and 11556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11544 and 11556.

How to find the GCF of 11544 and 11556?

We will first find the prime factorization of 11544 and 11556. After we will calculate the factors of 11544 and 11556 and find the biggest common factor number .

Step-1: Prime Factorization of 11544

Prime factors of 11544 are 2, 3, 13, 37. Prime factorization of 11544 in exponential form is:

11544 = 2³ × 3¹ × 13¹ × 37¹

Step-2: Prime Factorization of 11556

Prime factors of 11556 are 2, 3, 107. Prime factorization of 11556 in exponential form is:

11556 = 2² × 3³ × 107¹

Step-3: Factors of 11544

List of positive integer factors of 11544 that divides 11544 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 37, 39, 52, 74, 78, 104, 111, 148, 156, 222, 296, 312, 444, 481, 888, 962, 1443, 1924, 2886, 3848, 5772

Step-4: Factors of 11556

List of positive integer factors of 11556 that divides 11544 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 107, 108, 214, 321, 428, 642, 963, 1284, 1926, 2889, 3852, 5778

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11544 and 11556. The biggest common factor number is the GCF number.
So the greatest common factor 11544 and 11556 is 12.

Also check out the Least Common Multiple of 11544 and 11556