What is the Greatest Common Factor of 11480 and 11500?

Greatest common factor (GCF) of 11480 and 11500 is 20.

GCF(11480,11500) = 20

We will now calculate the prime factors of 11480 and 11500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11480 and 11500.

How to find the GCF of 11480 and 11500?

We will first find the prime factorization of 11480 and 11500. After we will calculate the factors of 11480 and 11500 and find the biggest common factor number .

Step-1: Prime Factorization of 11480

Prime factors of 11480 are 2, 5, 7, 41. Prime factorization of 11480 in exponential form is:

11480 = 2³ × 5¹ × 7¹ × 41¹

Step-2: Prime Factorization of 11500

Prime factors of 11500 are 2, 5, 23. Prime factorization of 11500 in exponential form is:

11500 = 2² × 5³ × 23¹

Step-3: Factors of 11480

List of positive integer factors of 11480 that divides 11480 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 41, 56, 70, 82, 140, 164, 205, 280, 287, 328, 410, 574, 820, 1148, 1435, 1640, 2296, 2870, 5740

Step-4: Factors of 11500

List of positive integer factors of 11500 that divides 11480 without a remainder.

1, 2, 4, 5, 10, 20, 23, 25, 46, 50, 92, 100, 115, 125, 230, 250, 460, 500, 575, 1150, 2300, 2875, 5750

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11480 and 11500. The biggest common factor number is the GCF number.
So the greatest common factor 11480 and 11500 is 20.

Also check out the Least Common Multiple of 11480 and 11500