What is the Greatest Common Factor of 11544 and 11560?

Greatest common factor (GCF) of 11544 and 11560 is 8.

GCF(11544,11560) = 8

We will now calculate the prime factors of 11544 and 11560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11544 and 11560.

How to find the GCF of 11544 and 11560?

We will first find the prime factorization of 11544 and 11560. After we will calculate the factors of 11544 and 11560 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 11560

Prime factors of 11560 are 2, 5, 17. Prime factorization of 11560 in exponential form is:

11560 = 2³ × 5¹ × 17²

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 11560

List of positive integer factors of 11560 that divides 11544 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 289, 340, 578, 680, 1156, 1445, 2312, 2890, 5780

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11544 and 11560. The biggest common factor number is the GCF number.
So the greatest common factor 11544 and 11560 is 8.

Also check out the Least Common Multiple of 11544 and 11560