What is the Greatest Common Factor of 11340 and 11352?

Greatest common factor (GCF) of 11340 and 11352 is 12.

GCF(11340,11352) = 12

We will now calculate the prime factors of 11340 and 11352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11340 and 11352.

How to find the GCF of 11340 and 11352?

We will first find the prime factorization of 11340 and 11352. After we will calculate the factors of 11340 and 11352 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 11352

Prime factors of 11352 are 2, 3, 11, 43. Prime factorization of 11352 in exponential form is:

11352 = 2³ × 3¹ × 11¹ × 43¹

Step-3: Factors of 11340

List of positive integer factors of 11340 that divides 11340 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

Step-4: Factors of 11352

List of positive integer factors of 11352 that divides 11340 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 43, 44, 66, 86, 88, 129, 132, 172, 258, 264, 344, 473, 516, 946, 1032, 1419, 1892, 2838, 3784, 5676

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11340 and 11352. The biggest common factor number is the GCF number.
So the greatest common factor 11340 and 11352 is 12.

Also check out the Least Common Multiple of 11340 and 11352