Greatest Common Factor of 2380 and 2387

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, 2387 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2380 and 2387 is 7.

GCF(2380,2387) = 7

GCF of 2380 and 2387

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

GCF of:
and

Greatest Common Factor of 2380 and 2387

GCF of 2380 and 2387 is 7

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 2387


7 2387
11 341
31 31
1

Prime factors of 2387 are 7,11,31. Prime factorization of 2387 in exponential form is:

2387 = 71×111×311

∴ So by taking common prime factors GCF of 2380 and 2387 is 7

Greatest Common Factor of 2380 and 2387 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 2387

List of positive integer factors of 2387 that divides 2387 without a remainder.

1,7,11,31,77,217,341,2387

Greatest Common Factor

We found the factors and prime factorization of 2380 and 2387. The biggest common factor number is the GCF number.
So the greatest common factor 2380 and 2387 is 7.

Also check out the Least Common Multiple of 2380 and 2387

Properties of GCF 2380 and 2387

(i) The GCF of 2380 and 2387 is associative

GCF of 2380 and 2387 = GCF of 2387 and 2380

Related Greatest Common Factor of 2380

Related Greatest Common Factor of 2387

Frequently Asked Questions on GCF of 2380 and 2387

1. What is the GCF of 2380 and 2387?

Answer: GCF of 2380 and 2387 is 7.

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 2387?

Answer: Factors of 2387 are 1, 7, 11, 31, 77, 217, 341, 2387. There are 8 integers that are factors of 2387. The greatest factor of 2387 is 2387.

4. How to Find the GCF of 2380 and 2387?

Answer:

Greatest Common Factor of 2380 and 2387 = 7

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 2387

2387 = 7 x 11 x 31

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

GCF = 7

Step 4: Therefore, the greatest common factor of 2380 and 2387 is 7