What is the Greatest Common Factor of 11328 and 11340?

Greatest common factor (GCF) of 11328 and 11340 is 12.

GCF(11328,11340) = 12

We will now calculate the prime factors of 11328 and 11340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11328 and 11340.

How to find the GCF of 11328 and 11340?

We will first find the prime factorization of 11328 and 11340. After we will calculate the factors of 11328 and 11340 and find the biggest common factor number .

Step-1: Prime Factorization of 11328

Prime factors of 11328 are 2, 3, 59. Prime factorization of 11328 in exponential form is:

11328 = 2⁶ × 3¹ × 59¹

Step-2: Prime Factorization of 11340

Prime factors of 11340 are 2, 3, 5, 7. Prime factorization of 11340 in exponential form is:

11340 = 2² × 3⁴ × 5¹ × 7¹

Step-3: Factors of 11328

List of positive integer factors of 11328 that divides 11328 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 59, 64, 96, 118, 177, 192, 236, 354, 472, 708, 944, 1416, 1888, 2832, 3776, 5664

Step-4: Factors of 11340

List of positive integer factors of 11340 that divides 11328 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 27, 28, 30, 35, 36, 42, 45, 54, 60, 63, 70, 81, 84, 90, 105, 108, 126, 135, 140, 162, 180, 189, 210, 252, 270, 315, 324, 378, 405, 420, 540, 567, 630, 756, 810, 945, 1134, 1260, 1620, 1890, 2268, 2835, 3780, 5670

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11328 and 11340. The biggest common factor number is the GCF number.
So the greatest common factor 11328 and 11340 is 12.

Also check out the Least Common Multiple of 11328 and 11340