What is the Greatest Common Factor of 23460 and 23475?

Greatest common factor (GCF) of 23460 and 23475 is 15.

GCF(23460,23475) = 15

We will now calculate the prime factors of 23460 and 23475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23460 and 23475.

How to find the GCF of 23460 and 23475?

We will first find the prime factorization of 23460 and 23475. After we will calculate the factors of 23460 and 23475 and find the biggest common factor number .

Step-1: Prime Factorization of 23460

Prime factors of 23460 are 2, 3, 5, 17, 23. Prime factorization of 23460 in exponential form is:

23460 = 2² × 3¹ × 5¹ × 17¹ × 23¹

Step-2: Prime Factorization of 23475

Prime factors of 23475 are 3, 5, 313. Prime factorization of 23475 in exponential form is:

23475 = 3¹ × 5² × 313¹

Step-3: Factors of 23460

List of positive integer factors of 23460 that divides 23460 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 23, 30, 34, 46, 51, 60, 68, 69, 85, 92, 102, 115, 138, 170, 204, 230, 255, 276, 340, 345, 391, 460, 510, 690, 782, 1020, 1173, 1380, 1564, 1955, 2346, 3910, 4692, 5865, 7820, 11730

Step-4: Factors of 23475

List of positive integer factors of 23475 that divides 23460 without a remainder.

1, 3, 5, 15, 25, 75, 313, 939, 1565, 4695, 7825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23460 and 23475. The biggest common factor number is the GCF number.
So the greatest common factor 23460 and 23475 is 15.

Also check out the Least Common Multiple of 23460 and 23475