Greatest Common Factor of 2380 and 2388

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, 2388 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2380 and 2388 is 4.

GCF(2380,2388) = 4

GCF of 2380 and 2388

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

GCF of:
and

Greatest Common Factor of 2380 and 2388

GCF of 2380 and 2388 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 2388


2 2388
2 1194
3 597
199 199
1

Prime factors of 2388 are 2,3,199. Prime factorization of 2388 in exponential form is:

2388 = 22×31×1991

∴ So by taking common prime factors GCF of 2380 and 2388 is 4

Greatest Common Factor of 2380 and 2388 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 2388

List of positive integer factors of 2388 that divides 2388 without a remainder.

1,2,3,4,6,12,199,398,597,796,1194,2388

Greatest Common Factor

We found the factors and prime factorization of 2380 and 2388. The biggest common factor number is the GCF number.
So the greatest common factor 2380 and 2388 is 4.

Also check out the Least Common Multiple of 2380 and 2388

Properties of GCF 2380 and 2388

(i) The GCF of 2380 and 2388 is associative

GCF of 2380 and 2388 = GCF of 2388 and 2380

Related Greatest Common Factor of 2380

Related Greatest Common Factor of 2388

Frequently Asked Questions on GCF of 2380 and 2388

1. What is the GCF of 2380 and 2388?

Answer: GCF of 2380 and 2388 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 2388?

Answer: Factors of 2388 are 1, 2, 3, 4, 6, 12, 199, 398, 597, 796, 1194, 2388. There are 12 integers that are factors of 2388. The greatest factor of 2388 is 2388.

4. How to Find the GCF of 2380 and 2388?

Answer:

Greatest Common Factor of 2380 and 2388 = 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 2388

2388 = 2 x 2 x 3 x 199

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 2388 is 4