What is the Greatest Common Factor of 11340 and 11347?

Greatest common factor (GCF) of 11340 and 11347 is 7.

GCF(11340,11347) = 7

We will now calculate the prime factors of 11340 and 11347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11340 and 11347.

How to find the GCF of 11340 and 11347?

We will first find the prime factorization of 11340 and 11347. After we will calculate the factors of 11340 and 11347 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 11347

Prime factors of 11347 are 7, 1621. Prime factorization of 11347 in exponential form is:

11347 = 7¹ × 1621¹

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 11347

List of positive integer factors of 11347 that divides 11340 without a remainder.

1, 7, 1621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11340 and 11347. The biggest common factor number is the GCF number.
So the greatest common factor 11340 and 11347 is 7.

Also check out the Least Common Multiple of 11340 and 11347