What is the Greatest Common Factor of 23400 and 23409?

Greatest common factor (GCF) of 23400 and 23409 is 9.

GCF(23400,23409) = 9

We will now calculate the prime factors of 23400 and 23409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23400 and 23409.

How to find the GCF of 23400 and 23409?

We will first find the prime factorization of 23400 and 23409. After we will calculate the factors of 23400 and 23409 and find the biggest common factor number .

Step-1: Prime Factorization of 23400

Prime factors of 23400 are 2, 3, 5, 13. Prime factorization of 23400 in exponential form is:

23400 = 2³ × 3² × 5² × 13¹

Step-2: Prime Factorization of 23409

Prime factors of 23409 are 3, 17. Prime factorization of 23409 in exponential form is:

23409 = 3⁴ × 17²

Step-3: Factors of 23400

List of positive integer factors of 23400 that divides 23400 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 18, 20, 24, 25, 26, 30, 36, 39, 40, 45, 50, 52, 60, 65, 72, 75, 78, 90, 100, 104, 117, 120, 130, 150, 156, 180, 195, 200, 225, 234, 260, 300, 312, 325, 360, 390, 450, 468, 520, 585, 600, 650, 780, 900, 936, 975, 1170, 1300, 1560, 1800, 1950, 2340, 2600, 2925, 3900, 4680, 5850, 7800, 11700

Step-4: Factors of 23409

List of positive integer factors of 23409 that divides 23400 without a remainder.

1, 3, 9, 17, 27, 51, 81, 153, 289, 459, 867, 1377, 2601, 7803

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23400 and 23409. The biggest common factor number is the GCF number.
So the greatest common factor 23400 and 23409 is 9.

Also check out the Least Common Multiple of 23400 and 23409