What is the Greatest Common Factor of 11544 and 11557?

Greatest common factor (GCF) of 11544 and 11557 is 13.

GCF(11544,11557) = 13

We will now calculate the prime factors of 11544 and 11557, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11544 and 11557.

How to find the GCF of 11544 and 11557?

We will first find the prime factorization of 11544 and 11557. After we will calculate the factors of 11544 and 11557 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 11557

Prime factors of 11557 are 7, 13, 127. Prime factorization of 11557 in exponential form is:

11557 = 7¹ × 13¹ × 127¹

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 11557

List of positive integer factors of 11557 that divides 11544 without a remainder.

1, 7, 13, 91, 127, 889, 1651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11544 and 11557. The biggest common factor number is the GCF number.
So the greatest common factor 11544 and 11557 is 13.

Also check out the Least Common Multiple of 11544 and 11557