What is the Greatest Common Factor of 23364 and 23375?

Greatest common factor (GCF) of 23364 and 23375 is 11.

GCF(23364,23375) = 11

We will now calculate the prime factors of 23364 and 23375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23364 and 23375.

How to find the GCF of 23364 and 23375?

We will first find the prime factorization of 23364 and 23375. After we will calculate the factors of 23364 and 23375 and find the biggest common factor number .

Step-1: Prime Factorization of 23364

Prime factors of 23364 are 2, 3, 11, 59. Prime factorization of 23364 in exponential form is:

23364 = 2² × 3² × 11¹ × 59¹

Step-2: 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-3: Factors of 23364

List of positive integer factors of 23364 that divides 23364 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 59, 66, 99, 118, 132, 177, 198, 236, 354, 396, 531, 649, 708, 1062, 1298, 1947, 2124, 2596, 3894, 5841, 7788, 11682

Step-4: Factors of 23375

List of positive integer factors of 23375 that divides 23364 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23364 and 23375. The biggest common factor number is the GCF number.
So the greatest common factor 23364 and 23375 is 11.

Also check out the Least Common Multiple of 23364 and 23375