What is the Greatest Common Factor of 23460 and 23465?

Greatest common factor (GCF) of 23460 and 23465 is 5.

GCF(23460,23465) = 5

We will now calculate the prime factors of 23460 and 23465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23460 and 23465.

How to find the GCF of 23460 and 23465?

We will first find the prime factorization of 23460 and 23465. After we will calculate the factors of 23460 and 23465 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 23465

Prime factors of 23465 are 5, 13, 19. Prime factorization of 23465 in exponential form is:

23465 = 5¹ × 13¹ × 19²

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 23465

List of positive integer factors of 23465 that divides 23460 without a remainder.

1, 5, 13, 19, 65, 95, 247, 361, 1235, 1805, 4693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23460 and 23465. The biggest common factor number is the GCF number.
So the greatest common factor 23460 and 23465 is 5.

Also check out the Least Common Multiple of 23460 and 23465