What is the Greatest Common Factor of 23392 and 23400?

Greatest common factor (GCF) of 23392 and 23400 is 8.

GCF(23392,23400) = 8

We will now calculate the prime factors of 23392 and 23400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23392 and 23400.

How to find the GCF of 23392 and 23400?

We will first find the prime factorization of 23392 and 23400. After we will calculate the factors of 23392 and 23400 and find the biggest common factor number .

Step-1: Prime Factorization of 23392

Prime factors of 23392 are 2, 17, 43. Prime factorization of 23392 in exponential form is:

23392 = 2⁵ × 17¹ × 43¹

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 23392

List of positive integer factors of 23392 that divides 23392 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 43, 68, 86, 136, 172, 272, 344, 544, 688, 731, 1376, 1462, 2924, 5848, 11696

Step-4: Factors of 23400

List of positive integer factors of 23400 that divides 23392 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 23392 and 23400. The biggest common factor number is the GCF number.
So the greatest common factor 23392 and 23400 is 8.

Also check out the Least Common Multiple of 23392 and 23400