What is the Greatest Common Factor of 11460 and 11465?

Greatest common factor (GCF) of 11460 and 11465 is 5.

GCF(11460,11465) = 5

We will now calculate the prime factors of 11460 and 11465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11460 and 11465.

How to find the GCF of 11460 and 11465?

We will first find the prime factorization of 11460 and 11465. After we will calculate the factors of 11460 and 11465 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 11465

Prime factors of 11465 are 5, 2293. Prime factorization of 11465 in exponential form is:

11465 = 5¹ × 2293¹

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 11465

List of positive integer factors of 11465 that divides 11460 without a remainder.

1, 5, 2293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11460 and 11465. The biggest common factor number is the GCF number.
So the greatest common factor 11460 and 11465 is 5.

Also check out the Least Common Multiple of 11460 and 11465