What is the Greatest Common Factor of 23392 and 23409?

Greatest common factor (GCF) of 23392 and 23409 is 17.

GCF(23392,23409) = 17

We will now calculate the prime factors of 23392 and 23409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23392 and 23409.

How to find the GCF of 23392 and 23409?

We will first find the prime factorization of 23392 and 23409. After we will calculate the factors of 23392 and 23409 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 23409

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

23409 = 3⁴ × 17²

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 23409

List of positive integer factors of 23409 that divides 23392 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 23392 and 23409. The biggest common factor number is the GCF number.
So the greatest common factor 23392 and 23409 is 17.

Also check out the Least Common Multiple of 23392 and 23409