What is the Greatest Common Factor of 11460 and 11475?

Greatest common factor (GCF) of 11460 and 11475 is 15.

GCF(11460,11475) = 15

We will now calculate the prime factors of 11460 and 11475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11460 and 11475.

How to find the GCF of 11460 and 11475?

We will first find the prime factorization of 11460 and 11475. After we will calculate the factors of 11460 and 11475 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 11475

Prime factors of 11475 are 3, 5, 17. Prime factorization of 11475 in exponential form is:

11475 = 3³ × 5² × 17¹

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 11475

List of positive integer factors of 11475 that divides 11460 without a remainder.

1, 3, 5, 9, 15, 17, 25, 27, 45, 51, 75, 85, 135, 153, 225, 255, 425, 459, 675, 765, 1275, 2295, 3825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11460 and 11475. The biggest common factor number is the GCF number.
So the greatest common factor 11460 and 11475 is 15.

Also check out the Least Common Multiple of 11460 and 11475