Greatest Common Factor of 2384 and 2389

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, 2389 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2384 and 2389 is 1.

GCF(2384,2389) = 1

GCF of 2384 and 2389

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

GCF of:
and

Greatest Common Factor of 2384 and 2389

GCF of 2384 and 2389 is 1

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 2389


2389 2389
1

Prime factors of 2389 are 2389. Prime factorization of 2389 in exponential form is:

2389 = 23891

∴ So by taking common prime factors GCF of 2384 and 2389 is 1

Greatest Common Factor of 2384 and 2389 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 2389

List of positive integer factors of 2389 that divides 2389 without a remainder.

1,2389

Greatest Common Factor

We found the factors and prime factorization of 2384 and 2389. The biggest common factor number is the GCF number.
So the greatest common factor 2384 and 2389 is 1.

Also check out the Least Common Multiple of 2384 and 2389

Properties of GCF 2384 and 2389

(i) The GCF of 2384 and 2389 is associative

GCF of 2384 and 2389 = GCF of 2389 and 2384

Frequently Asked Questions on GCF of 2384 and 2389

1. What is the GCF of 2384 and 2389?

Answer: GCF of 2384 and 2389 is 1.

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 2389?

Answer: Factors of 2389 are 1, 2389. There are 2 integers that are factors of 2389. The greatest factor of 2389 is 2389.

4. How to Find the GCF of 2384 and 2389?

Answer:

Greatest Common Factor of 2384 and 2389 = 1

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 2389

2389 = 2389

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 2384 and 2389 is 1