Greatest Common Factor of 2384 and 2392

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 2384, 2392 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2384 and 2392 is 8.

GCF(2384,2392) = 8

GCF of 2384 and 2392

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

GCF of:
and

Greatest Common Factor of 2384 and 2392

GCF of 2384 and 2392 is 8

Prime Factorization of 2384


2 2384
2 1192
2 596
2 298
149 149
1

Prime factors of 2384 are 2,149. Prime factorization of 2384 in exponential form is:

2384 = 24×1491

Prime Factorization of 2392


2 2392
2 1196
2 598
13 299
23 23
1

Prime factors of 2392 are 2,13,23. Prime factorization of 2392 in exponential form is:

2392 = 23×131×231

∴ So by taking common prime factors GCF of 2384 and 2392 is 8

Greatest Common Factor of 2384 and 2392 by matching factors method

Factors of 2384

List of positive integer factors of 2384 that divides 2384 without a remainder.

1,2,4,8,16,149,298,596,1192,2384

Factors of 2392

List of positive integer factors of 2392 that divides 2392 without a remainder.

1,2,4,8,13,23,26,46,52,92,104,184,299,598,1196,2392

Greatest Common Factor

We found the factors and prime factorization of 2384 and 2392. The biggest common factor number is the GCF number.
So the greatest common factor 2384 and 2392 is 8.

Also check out the Least Common Multiple of 2384 and 2392

Properties of GCF 2384 and 2392

(i) The GCF of 2384 and 2392 is associative

GCF of 2384 and 2392 = GCF of 2392 and 2384

Related Greatest Common Factor of 2384

Related Greatest Common Factor of 2392

Frequently Asked Questions on GCF of 2384 and 2392

1. What is the GCF of 2384 and 2392?

Answer: GCF of 2384 and 2392 is 8.

2. What are the Factors of 2384?

Answer: Factors of 2384 are 1, 2, 4, 8, 16, 149, 298, 596, 1192, 2384. There are 10 integers that are factors of 2384. The greatest factor of 2384 is 2384.

3. What are the Factors of 2392?

Answer: Factors of 2392 are 1, 2, 4, 8, 13, 23, 26, 46, 52, 92, 104, 184, 299, 598, 1196, 2392. There are 16 integers that are factors of 2392. The greatest factor of 2392 is 2392.

4. How to Find the GCF of 2384 and 2392?

Answer:

Greatest Common Factor of 2384 and 2392 = 8

Step 1: Find the prime factorization of 2384

2384 = 2 x 2 x 2 x 2 x 149

Step 2: Find the prime factorization of 2392

2392 = 2 x 2 x 2 x 13 x 23

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 2384 and 2392 is 8