Greatest Common Factor of 2380 and 2384

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 2380, 2384 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2380 and 2384 is 4.

GCF(2380,2384) = 4

GCF of 2380 and 2384

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

GCF of:
and

Greatest Common Factor of 2380 and 2384

GCF of 2380 and 2384 is 4

Prime Factorization of 2380


2 2380
2 1190
5 595
7 119
17 17
1

Prime factors of 2380 are 2,5,7,17. Prime factorization of 2380 in exponential form is:

2380 = 22×51×71×171

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

∴ So by taking common prime factors GCF of 2380 and 2384 is 4

Greatest Common Factor of 2380 and 2384 by matching factors method

Factors of 2380

List of positive integer factors of 2380 that divides 2380 without a remainder.

1,2,4,5,7,10,14,17,20,28,34,35,68,70,85,119,140,170,238,340,476,595,1190,2380

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

Greatest Common Factor

We found the factors and prime factorization of 2380 and 2384. The biggest common factor number is the GCF number.
So the greatest common factor 2380 and 2384 is 4.

Also check out the Least Common Multiple of 2380 and 2384

Properties of GCF 2380 and 2384

(i) The GCF of 2380 and 2384 is associative

GCF of 2380 and 2384 = GCF of 2384 and 2380

Related Greatest Common Factor of 2380

Related Greatest Common Factor of 2384

Frequently Asked Questions on GCF of 2380 and 2384

1. What is the GCF of 2380 and 2384?

Answer: GCF of 2380 and 2384 is 4.

2. What are the Factors of 2380?

Answer: Factors of 2380 are 1, 2, 4, 5, 7, 10, 14, 17, 20, 28, 34, 35, 68, 70, 85, 119, 140, 170, 238, 340, 476, 595, 1190, 2380. There are 24 integers that are factors of 2380. The greatest factor of 2380 is 2380.

3. 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.

4. How to Find the GCF of 2380 and 2384?

Answer:

Greatest Common Factor of 2380 and 2384 = 4

Step 1: Find the prime factorization of 2380

2380 = 2 x 2 x 5 x 7 x 17

Step 2: Find the prime factorization of 2384

2384 = 2 x 2 x 2 x 2 x 149

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 2380 and 2384 is 4