Greatest Common Factor of 23359 and 23365

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 23359, 23365 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 23359 and 23365 is 1.

GCF(23359,23365) = 1

GCF of 23359 and 23365

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

GCF of:
and

Greatest Common Factor of 23359 and 23365

GCF of 23359 and 23365 is 1

Prime Factorization of 23359


7 23359
47 3337
71 71
1

Prime factors of 23359 are 7,47,71. Prime factorization of 23359 in exponential form is:

23359 = 71×471×711

Prime Factorization of 23365


5 23365
4673 4673
1

Prime factors of 23365 are 5,4673. Prime factorization of 23365 in exponential form is:

23365 = 51×46731

∴ So by taking common prime factors GCF of 23359 and 23365 is 1

Greatest Common Factor of 23359 and 23365 by matching factors method

Factors of 23359

List of positive integer factors of 23359 that divides 23359 without a remainder.

1,7,47,71,329,497,3337,23359

Factors of 23365

List of positive integer factors of 23365 that divides 23365 without a remainder.

1,5,4673,23365

Greatest Common Factor

We found the factors and prime factorization of 23359 and 23365. The biggest common factor number is the GCF number.
So the greatest common factor 23359 and 23365 is 1.

Also check out the Least Common Multiple of 23359 and 23365

Properties of GCF 23359 and 23365

(i) The GCF of 23359 and 23365 is associative

GCF of 23359 and 23365 = GCF of 23365 and 23359

Related Greatest Common Factor of 23359

Related Greatest Common Factor of 23365

Frequently Asked Questions on GCF of 23359 and 23365

1. What is the GCF of 23359 and 23365?

Answer: GCF of 23359 and 23365 is 1.

2. What are the Factors of 23359?

Answer: Factors of 23359 are 1, 7, 47, 71, 329, 497, 3337, 23359. There are 8 integers that are factors of 23359. The greatest factor of 23359 is 23359.

3. What are the Factors of 23365?

Answer: Factors of 23365 are 1, 5, 4673, 23365. There are 4 integers that are factors of 23365. The greatest factor of 23365 is 23365.

4. How to Find the GCF of 23359 and 23365?

Answer:

Greatest Common Factor of 23359 and 23365 = 1

Step 1: Find the prime factorization of 23359

23359 = 7 x 47 x 71

Step 2: Find the prime factorization of 23365

23365 = 5 x 4673

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 23359 and 23365 is 1