Greatest Common Factor of 2367 and 2371

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 2367, 2371 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2367 and 2371 is 1.

GCF(2367,2371) = 1

GCF of 2367 and 2371

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

GCF of:
and

Greatest Common Factor of 2367 and 2371

GCF of 2367 and 2371 is 1

Prime Factorization of 2367


3 2367
3 789
263 263
1

Prime factors of 2367 are 3,263. Prime factorization of 2367 in exponential form is:

2367 = 32×2631

Prime Factorization of 2371


2371 2371
1

Prime factors of 2371 are 2371. Prime factorization of 2371 in exponential form is:

2371 = 23711

∴ So by taking common prime factors GCF of 2367 and 2371 is 1

Greatest Common Factor of 2367 and 2371 by matching factors method

Factors of 2367

List of positive integer factors of 2367 that divides 2367 without a remainder.

1,3,9,263,789,2367

Factors of 2371

List of positive integer factors of 2371 that divides 2371 without a remainder.

1,2371

Greatest Common Factor

We found the factors and prime factorization of 2367 and 2371. The biggest common factor number is the GCF number.
So the greatest common factor 2367 and 2371 is 1.

Also check out the Least Common Multiple of 2367 and 2371

Properties of GCF 2367 and 2371

(i) The GCF of 2367 and 2371 is associative

GCF of 2367 and 2371 = GCF of 2371 and 2367

Related Greatest Common Factor of 2367

Related Greatest Common Factor of 2371

Frequently Asked Questions on GCF of 2367 and 2371

1. What is the GCF of 2367 and 2371?

Answer: GCF of 2367 and 2371 is 1.

2. What are the Factors of 2367?

Answer: Factors of 2367 are 1, 3, 9, 263, 789, 2367. There are 6 integers that are factors of 2367. The greatest factor of 2367 is 2367.

3. What are the Factors of 2371?

Answer: Factors of 2371 are 1, 2371. There are 2 integers that are factors of 2371. The greatest factor of 2371 is 2371.

4. How to Find the GCF of 2367 and 2371?

Answer:

Greatest Common Factor of 2367 and 2371 = 1

Step 1: Find the prime factorization of 2367

2367 = 3 x 3 x 263

Step 2: Find the prime factorization of 2371

2371 = 2371

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 2367 and 2371 is 1