What is the Greatest Common Factor of 23375 and 23392?

Greatest common factor (GCF) of 23375 and 23392 is 17.

GCF(23375,23392) = 17

We will now calculate the prime factors of 23375 and 23392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23375 and 23392.

How to find the GCF of 23375 and 23392?

We will first find the prime factorization of 23375 and 23392. After we will calculate the factors of 23375 and 23392 and find the biggest common factor number .

Step-1: Prime Factorization of 23375

Prime factors of 23375 are 5, 11, 17. Prime factorization of 23375 in exponential form is:

23375 = 5³ × 11¹ × 17¹

Step-2: 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-3: Factors of 23375

List of positive integer factors of 23375 that divides 23375 without a remainder.

1, 5, 11, 17, 25, 55, 85, 125, 187, 275, 425, 935, 1375, 2125, 4675

Step-4: Factors of 23392

List of positive integer factors of 23392 that divides 23375 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23375 and 23392. The biggest common factor number is the GCF number.
So the greatest common factor 23375 and 23392 is 17.

Also check out the Least Common Multiple of 23375 and 23392