Greatest Common Factor of 2373 and 2379

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 2373, 2379 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2373 and 2379 is 3.

GCF(2373,2379) = 3

GCF of 2373 and 2379

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

GCF of:
and

Greatest Common Factor of 2373 and 2379

GCF of 2373 and 2379 is 3

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

Prime Factorization of 2379


3 2379
13 793
61 61
1

Prime factors of 2379 are 3,13,61. Prime factorization of 2379 in exponential form is:

2379 = 31×131×611

∴ So by taking common prime factors GCF of 2373 and 2379 is 3

Greatest Common Factor of 2373 and 2379 by matching factors method

Factors of 2373

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

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

Factors of 2379

List of positive integer factors of 2379 that divides 2379 without a remainder.

1,3,13,39,61,183,793,2379

Greatest Common Factor

We found the factors and prime factorization of 2373 and 2379. The biggest common factor number is the GCF number.
So the greatest common factor 2373 and 2379 is 3.

Also check out the Least Common Multiple of 2373 and 2379

Properties of GCF 2373 and 2379

(i) The GCF of 2373 and 2379 is associative

GCF of 2373 and 2379 = GCF of 2379 and 2373

Frequently Asked Questions on GCF of 2373 and 2379

1. What is the GCF of 2373 and 2379?

Answer: GCF of 2373 and 2379 is 3.

2. 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.

3. What are the Factors of 2379?

Answer: Factors of 2379 are 1, 3, 13, 39, 61, 183, 793, 2379. There are 8 integers that are factors of 2379. The greatest factor of 2379 is 2379.

4. How to Find the GCF of 2373 and 2379?

Answer:

Greatest Common Factor of 2373 and 2379 = 3

Step 1: Find the prime factorization of 2373

2373 = 3 x 7 x 113

Step 2: Find the prime factorization of 2379

2379 = 3 x 13 x 61

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 2373 and 2379 is 3