Greatest Common Factor of 23378 and 23382

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 23378, 23382 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 23378 and 23382 is 2.

GCF(23378,23382) = 2

GCF of 23378 and 23382

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

GCF of:
and

Greatest Common Factor of 23378 and 23382

GCF of 23378 and 23382 is 2

Prime Factorization of 23378


2 23378
11689 11689
1

Prime factors of 23378 are 2,11689. Prime factorization of 23378 in exponential form is:

23378 = 21×116891

Prime Factorization of 23382


2 23382
3 11691
3 3897
3 1299
433 433
1

Prime factors of 23382 are 2,3,433. Prime factorization of 23382 in exponential form is:

23382 = 21×33×4331

∴ So by taking common prime factors GCF of 23378 and 23382 is 2

Greatest Common Factor of 23378 and 23382 by matching factors method

Factors of 23378

List of positive integer factors of 23378 that divides 23378 without a remainder.

1,2,11689,23378

Factors of 23382

List of positive integer factors of 23382 that divides 23382 without a remainder.

1,2,3,6,9,18,27,54,433,866,1299,2598,3897,7794,11691,23382

Greatest Common Factor

We found the factors and prime factorization of 23378 and 23382. The biggest common factor number is the GCF number.
So the greatest common factor 23378 and 23382 is 2.

Also check out the Least Common Multiple of 23378 and 23382

Properties of GCF 23378 and 23382

(i) The GCF of 23378 and 23382 is associative

GCF of 23378 and 23382 = GCF of 23382 and 23378

Related Greatest Common Factor of 23378

Related Greatest Common Factor of 23382

Frequently Asked Questions on GCF of 23378 and 23382

1. What is the GCF of 23378 and 23382?

Answer: GCF of 23378 and 23382 is 2.

2. What are the Factors of 23378?

Answer: Factors of 23378 are 1, 2, 11689, 23378. There are 4 integers that are factors of 23378. The greatest factor of 23378 is 23378.

3. What are the Factors of 23382?

Answer: Factors of 23382 are 1, 2, 3, 6, 9, 18, 27, 54, 433, 866, 1299, 2598, 3897, 7794, 11691, 23382. There are 16 integers that are factors of 23382. The greatest factor of 23382 is 23382.

4. How to Find the GCF of 23378 and 23382?

Answer:

Greatest Common Factor of 23378 and 23382 = 2

Step 1: Find the prime factorization of 23378

23378 = 2 x 11689

Step 2: Find the prime factorization of 23382

23382 = 2 x 3 x 3 x 3 x 433

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

GCF = 2

Step 4: Therefore, the greatest common factor of 23378 and 23382 is 2