Greatest Common Factor of 2367 and 2373

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, 2373 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2367 and 2373 is 3.

GCF(2367,2373) = 3

GCF of 2367 and 2373

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

GCF of:
and

Greatest Common Factor of 2367 and 2373

GCF of 2367 and 2373 is 3

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 2373


3 2373
7 791
113 113
1

Prime factors of 2373 are 3,7,113. Prime factorization of 2373 in exponential form is:

2373 = 31×71×1131

∴ So by taking common prime factors GCF of 2367 and 2373 is 3

Greatest Common Factor of 2367 and 2373 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 2373

List of positive integer factors of 2373 that divides 2373 without a remainder.

1,3,7,21,113,339,791,2373

Greatest Common Factor

We found the factors and prime factorization of 2367 and 2373. The biggest common factor number is the GCF number.
So the greatest common factor 2367 and 2373 is 3.

Also check out the Least Common Multiple of 2367 and 2373

Properties of GCF 2367 and 2373

(i) The GCF of 2367 and 2373 is associative

GCF of 2367 and 2373 = GCF of 2373 and 2367

Related Greatest Common Factor of 2367

Related Greatest Common Factor of 2373

Frequently Asked Questions on GCF of 2367 and 2373

1. What is the GCF of 2367 and 2373?

Answer: GCF of 2367 and 2373 is 3.

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 2373?

Answer: Factors of 2373 are 1, 3, 7, 21, 113, 339, 791, 2373. There are 8 integers that are factors of 2373. The greatest factor of 2373 is 2373.

4. How to Find the GCF of 2367 and 2373?

Answer:

Greatest Common Factor of 2367 and 2373 = 3

Step 1: Find the prime factorization of 2367

2367 = 3 x 3 x 263

Step 2: Find the prime factorization of 2373

2373 = 3 x 7 x 113

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

GCF = 3

Step 4: Therefore, the greatest common factor of 2367 and 2373 is 3