What is the Greatest Common Factor of 11340 and 11360?

Greatest common factor (GCF) of 11340 and 11360 is 20.

GCF(11340,11360) = 20

We will now calculate the prime factors of 11340 and 11360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11340 and 11360.

How to find the GCF of 11340 and 11360?

We will first find the prime factorization of 11340 and 11360. After we will calculate the factors of 11340 and 11360 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 11360

Prime factors of 11360 are 2, 5, 71. Prime factorization of 11360 in exponential form is:

11360 = 2⁵ × 5¹ × 71¹

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 11360

List of positive integer factors of 11360 that divides 11340 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 71, 80, 142, 160, 284, 355, 568, 710, 1136, 1420, 2272, 2840, 5680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11340 and 11360. The biggest common factor number is the GCF number.
So the greatest common factor 11340 and 11360 is 20.

Also check out the Least Common Multiple of 11340 and 11360