What is the Greatest Common Factor of 11544 and 11563?

Greatest common factor (GCF) of 11544 and 11563 is 1.

GCF(11544,11563) = 1

We will now calculate the prime factors of 11544 and 11563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11544 and 11563.

How to find the GCF of 11544 and 11563?

We will first find the prime factorization of 11544 and 11563. After we will calculate the factors of 11544 and 11563 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 11563

Prime factors of 11563 are 31, 373. Prime factorization of 11563 in exponential form is:

11563 = 31¹ × 373¹

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 11563

List of positive integer factors of 11563 that divides 11544 without a remainder.

1, 31, 373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11544 and 11563. The biggest common factor number is the GCF number.
So the greatest common factor 11544 and 11563 is 1.

Also check out the Least Common Multiple of 11544 and 11563