Greatest Common Factor of 2387 and 2393

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 2387, 2393 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2387 and 2393 is 1.

GCF(2387,2393) = 1

GCF of 2387 and 2393

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

GCF of:
and

Greatest Common Factor of 2387 and 2393

GCF of 2387 and 2393 is 1

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

Prime Factorization of 2393


2393 2393
1

Prime factors of 2393 are 2393. Prime factorization of 2393 in exponential form is:

2393 = 23931

∴ So by taking common prime factors GCF of 2387 and 2393 is 1

Greatest Common Factor of 2387 and 2393 by matching factors method

Factors of 2387

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

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

Factors of 2393

List of positive integer factors of 2393 that divides 2393 without a remainder.

1,2393

Greatest Common Factor

We found the factors and prime factorization of 2387 and 2393. The biggest common factor number is the GCF number.
So the greatest common factor 2387 and 2393 is 1.

Also check out the Least Common Multiple of 2387 and 2393

Properties of GCF 2387 and 2393

(i) The GCF of 2387 and 2393 is associative

GCF of 2387 and 2393 = GCF of 2393 and 2387

Frequently Asked Questions on GCF of 2387 and 2393

1. What is the GCF of 2387 and 2393?

Answer: GCF of 2387 and 2393 is 1.

2. 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.

3. What are the Factors of 2393?

Answer: Factors of 2393 are 1, 2393. There are 2 integers that are factors of 2393. The greatest factor of 2393 is 2393.

4. How to Find the GCF of 2387 and 2393?

Answer:

Greatest Common Factor of 2387 and 2393 = 1

Step 1: Find the prime factorization of 2387

2387 = 7 x 11 x 31

Step 2: Find the prime factorization of 2393

2393 = 2393

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 2387 and 2393 is 1