What is the Greatest Common Factor of 11340 and 11354?

Greatest common factor (GCF) of 11340 and 11354 is 14.

GCF(11340,11354) = 14

We will now calculate the prime factors of 11340 and 11354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11340 and 11354.

How to find the GCF of 11340 and 11354?

We will first find the prime factorization of 11340 and 11354. After we will calculate the factors of 11340 and 11354 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 11354

Prime factors of 11354 are 2, 7, 811. Prime factorization of 11354 in exponential form is:

11354 = 2¹ × 7¹ × 811¹

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 11354

List of positive integer factors of 11354 that divides 11340 without a remainder.

1, 2, 7, 14, 811, 1622, 5677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11340 and 11354. The biggest common factor number is the GCF number.
So the greatest common factor 11340 and 11354 is 14.

Also check out the Least Common Multiple of 11340 and 11354