What is the Greatest Common Factor of 11340 and 11345?

Greatest common factor (GCF) of 11340 and 11345 is 5.

GCF(11340,11345) = 5

We will now calculate the prime factors of 11340 and 11345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11340 and 11345.

How to find the GCF of 11340 and 11345?

We will first find the prime factorization of 11340 and 11345. After we will calculate the factors of 11340 and 11345 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 11345

Prime factors of 11345 are 5, 2269. Prime factorization of 11345 in exponential form is:

11345 = 5¹ × 2269¹

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 11345

List of positive integer factors of 11345 that divides 11340 without a remainder.

1, 5, 2269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11340 and 11345. The biggest common factor number is the GCF number.
So the greatest common factor 11340 and 11345 is 5.

Also check out the Least Common Multiple of 11340 and 11345