What is the Greatest Common Factor of 11340 and 11351?

Greatest common factor (GCF) of 11340 and 11351 is 1.

GCF(11340,11351) = 1

We will now calculate the prime factors of 11340 and 11351, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11340 and 11351.

How to find the GCF of 11340 and 11351?

We will first find the prime factorization of 11340 and 11351. After we will calculate the factors of 11340 and 11351 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 11351

Prime factors of 11351 are 11351. Prime factorization of 11351 in exponential form is:

11351 = 11351¹

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 11351

List of positive integer factors of 11351 that divides 11340 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11340 and 11351. The biggest common factor number is the GCF number.
So the greatest common factor 11340 and 11351 is 1.

Also check out the Least Common Multiple of 11340 and 11351