What is the Greatest Common Factor of 23394 and 23400?

Greatest common factor (GCF) of 23394 and 23400 is 6.

GCF(23394,23400) = 6

We will now calculate the prime factors of 23394 and 23400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23394 and 23400.

How to find the GCF of 23394 and 23400?

We will first find the prime factorization of 23394 and 23400. After we will calculate the factors of 23394 and 23400 and find the biggest common factor number .

Step-1: Prime Factorization of 23394

Prime factors of 23394 are 2, 3, 7, 557. Prime factorization of 23394 in exponential form is:

23394 = 2¹ × 3¹ × 7¹ × 557¹

Step-2: 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-3: Factors of 23394

List of positive integer factors of 23394 that divides 23394 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 557, 1114, 1671, 3342, 3899, 7798, 11697

Step-4: Factors of 23400

List of positive integer factors of 23400 that divides 23394 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23394 and 23400. The biggest common factor number is the GCF number.
So the greatest common factor 23394 and 23400 is 6.

Also check out the Least Common Multiple of 23394 and 23400