Greatest Common Factor of 23367 and 23375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 23367, 23375 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 23367 and 23375 is 1.

GCF(23367,23375) = 1

GCF of 23367 and 23375

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 23367 and 23375

GCF of 23367 and 23375 is 1

Prime Factorization of 23367


3 23367
7789 7789
1

Prime factors of 23367 are 3,7789. Prime factorization of 23367 in exponential form is:

23367 = 31×77891

Prime Factorization of 23375


5 23375
5 4675
5 935
11 187
17 17
1

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

23375 = 53×111×171

∴ So by taking common prime factors GCF of 23367 and 23375 is 1

Greatest Common Factor of 23367 and 23375 by matching factors method

Factors of 23367

List of positive integer factors of 23367 that divides 23367 without a remainder.

1,3,7789,23367

Factors of 23375

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

1,5,11,17,25,55,85,125,187,275,425,935,1375,2125,4675,23375

Greatest Common Factor

We found the factors and prime factorization of 23367 and 23375. The biggest common factor number is the GCF number.
So the greatest common factor 23367 and 23375 is 1.

Also check out the Least Common Multiple of 23367 and 23375

Properties of GCF 23367 and 23375

(i) The GCF of 23367 and 23375 is associative

GCF of 23367 and 23375 = GCF of 23375 and 23367

Frequently Asked Questions on GCF of 23367 and 23375

1. What is the GCF of 23367 and 23375?

Answer: GCF of 23367 and 23375 is 1.

2. What are the Factors of 23367?

Answer: Factors of 23367 are 1, 3, 7789, 23367. There are 4 integers that are factors of 23367. The greatest factor of 23367 is 23367.

3. What are the Factors of 23375?

Answer: Factors of 23375 are 1, 5, 11, 17, 25, 55, 85, 125, 187, 275, 425, 935, 1375, 2125, 4675, 23375. There are 16 integers that are factors of 23375. The greatest factor of 23375 is 23375.

4. How to Find the GCF of 23367 and 23375?

Answer:

Greatest Common Factor of 23367 and 23375 = 1

Step 1: Find the prime factorization of 23367

23367 = 3 x 7789

Step 2: Find the prime factorization of 23375

23375 = 5 x 5 x 5 x 11 x 17

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 23367 and 23375 is 1