Greatest Common Factor of 23359 and 23362

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, 23362 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 23359 and 23362 is 1.

GCF(23359,23362) = 1

GCF of 23359 and 23362

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

GCF of:
and

Greatest Common Factor of 23359 and 23362

GCF of 23359 and 23362 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 23362


2 23362
11681 11681
1

Prime factors of 23362 are 2,11681. Prime factorization of 23362 in exponential form is:

23362 = 21×116811

∴ So by taking common prime factors GCF of 23359 and 23362 is 1

Greatest Common Factor of 23359 and 23362 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 23362

List of positive integer factors of 23362 that divides 23362 without a remainder.

1,2,11681,23362

Greatest Common Factor

We found the factors and prime factorization of 23359 and 23362. The biggest common factor number is the GCF number.
So the greatest common factor 23359 and 23362 is 1.

Also check out the Least Common Multiple of 23359 and 23362

Properties of GCF 23359 and 23362

(i) The GCF of 23359 and 23362 is associative

GCF of 23359 and 23362 = GCF of 23362 and 23359

Related Greatest Common Factor of 23359

Related Greatest Common Factor of 23362

Frequently Asked Questions on GCF of 23359 and 23362

1. What is the GCF of 23359 and 23362?

Answer: GCF of 23359 and 23362 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 23362?

Answer: Factors of 23362 are 1, 2, 11681, 23362. There are 4 integers that are factors of 23362. The greatest factor of 23362 is 23362.

4. How to Find the GCF of 23359 and 23362?

Answer:

Greatest Common Factor of 23359 and 23362 = 1

Step 1: Find the prime factorization of 23359

23359 = 7 x 47 x 71

Step 2: Find the prime factorization of 23362

23362 = 2 x 11681

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 23362 is 1