Greatest Common Factor of 23384 and 23392

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 23384, 23392 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 23384 and 23392 is 8.

GCF(23384,23392) = 8

GCF of 23384 and 23392

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

GCF of:
and

Greatest Common Factor of 23384 and 23392

GCF of 23384 and 23392 is 8

Prime Factorization of 23384


2 23384
2 11692
2 5846
37 2923
79 79
1

Prime factors of 23384 are 2,37,79. Prime factorization of 23384 in exponential form is:

23384 = 23×371×791

Prime Factorization of 23392


2 23392
2 11696
2 5848
2 2924
2 1462
17 731
43 43
1

Prime factors of 23392 are 2,17,43. Prime factorization of 23392 in exponential form is:

23392 = 25×171×431

∴ So by taking common prime factors GCF of 23384 and 23392 is 8

Greatest Common Factor of 23384 and 23392 by matching factors method

Factors of 23384

List of positive integer factors of 23384 that divides 23384 without a remainder.

1,2,4,8,37,74,79,148,158,296,316,632,2923,5846,11692,23384

Factors of 23392

List of positive integer factors of 23392 that divides 23392 without a remainder.

1,2,4,8,16,17,32,34,43,68,86,136,172,272,344,544,688,731,1376,1462,2924,5848,11696,23392

Greatest Common Factor

We found the factors and prime factorization of 23384 and 23392. The biggest common factor number is the GCF number.
So the greatest common factor 23384 and 23392 is 8.

Also check out the Least Common Multiple of 23384 and 23392

Properties of GCF 23384 and 23392

(i) The GCF of 23384 and 23392 is associative

GCF of 23384 and 23392 = GCF of 23392 and 23384

Related Greatest Common Factor of 23384

Related Greatest Common Factor of 23392

Frequently Asked Questions on GCF of 23384 and 23392

1. What is the GCF of 23384 and 23392?

Answer: GCF of 23384 and 23392 is 8.

2. What are the Factors of 23384?

Answer: Factors of 23384 are 1, 2, 4, 8, 37, 74, 79, 148, 158, 296, 316, 632, 2923, 5846, 11692, 23384. There are 16 integers that are factors of 23384. The greatest factor of 23384 is 23384.

3. What are the Factors of 23392?

Answer: Factors of 23392 are 1, 2, 4, 8, 16, 17, 32, 34, 43, 68, 86, 136, 172, 272, 344, 544, 688, 731, 1376, 1462, 2924, 5848, 11696, 23392. There are 24 integers that are factors of 23392. The greatest factor of 23392 is 23392.

4. How to Find the GCF of 23384 and 23392?

Answer:

Greatest Common Factor of 23384 and 23392 = 8

Step 1: Find the prime factorization of 23384

23384 = 2 x 2 x 2 x 37 x 79

Step 2: Find the prime factorization of 23392

23392 = 2 x 2 x 2 x 2 x 2 x 17 x 43

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 23384 and 23392 is 8