Greatest Common Factor of 2361 and 2367

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 2361, 2367 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2361 and 2367 is 3.

GCF(2361,2367) = 3

GCF of 2361 and 2367

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

GCF of:
and

Greatest Common Factor of 2361 and 2367

GCF of 2361 and 2367 is 3

Prime Factorization of 2361


3 2361
787 787
1

Prime factors of 2361 are 3,787. Prime factorization of 2361 in exponential form is:

2361 = 31×7871

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

∴ So by taking common prime factors GCF of 2361 and 2367 is 3

Greatest Common Factor of 2361 and 2367 by matching factors method

Factors of 2361

List of positive integer factors of 2361 that divides 2361 without a remainder.

1,3,787,2361

Factors of 2367

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

1,3,9,263,789,2367

Greatest Common Factor

We found the factors and prime factorization of 2361 and 2367. The biggest common factor number is the GCF number.
So the greatest common factor 2361 and 2367 is 3.

Also check out the Least Common Multiple of 2361 and 2367

Properties of GCF 2361 and 2367

(i) The GCF of 2361 and 2367 is associative

GCF of 2361 and 2367 = GCF of 2367 and 2361

Related Greatest Common Factor of 2361

Related Greatest Common Factor of 2367

Frequently Asked Questions on GCF of 2361 and 2367

1. What is the GCF of 2361 and 2367?

Answer: GCF of 2361 and 2367 is 3.

2. What are the Factors of 2361?

Answer: Factors of 2361 are 1, 3, 787, 2361. There are 4 integers that are factors of 2361. The greatest factor of 2361 is 2361.

3. 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.

4. How to Find the GCF of 2361 and 2367?

Answer:

Greatest Common Factor of 2361 and 2367 = 3

Step 1: Find the prime factorization of 2361

2361 = 3 x 787

Step 2: Find the prime factorization of 2367

2367 = 3 x 3 x 263

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 2361 and 2367 is 3