What is the Greatest Common Factor of 11460 and 11480?

Greatest common factor (GCF) of 11460 and 11480 is 20.

GCF(11460,11480) = 20

We will now calculate the prime factors of 11460 and 11480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11460 and 11480.

How to find the GCF of 11460 and 11480?

We will first find the prime factorization of 11460 and 11480. After we will calculate the factors of 11460 and 11480 and find the biggest common factor number .

Step-1: Prime Factorization of 11460

Prime factors of 11460 are 2, 3, 5, 191. Prime factorization of 11460 in exponential form is:

11460 = 2² × 3¹ × 5¹ × 191¹

Step-2: 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-3: Factors of 11460

List of positive integer factors of 11460 that divides 11460 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 191, 382, 573, 764, 955, 1146, 1910, 2292, 2865, 3820, 5730

Step-4: Factors of 11480

List of positive integer factors of 11480 that divides 11460 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11460 and 11480. The biggest common factor number is the GCF number.
So the greatest common factor 11460 and 11480 is 20.

Also check out the Least Common Multiple of 11460 and 11480