Greatest Common Factor of 2397 and 2400

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 2397, 2400 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2397 and 2400 is 3.

GCF(2397,2400) = 3

GCF of 2397 and 2400

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

GCF of:
and

Greatest Common Factor of 2397 and 2400

GCF of 2397 and 2400 is 3

Prime Factorization of 2397


3 2397
17 799
47 47
1

Prime factors of 2397 are 3,17,47. Prime factorization of 2397 in exponential form is:

2397 = 31×171×471

Prime Factorization of 2400


2 2400
2 1200
2 600
2 300
2 150
3 75
5 25
5 5
1

Prime factors of 2400 are 2,3,5. Prime factorization of 2400 in exponential form is:

2400 = 25×31×52

∴ So by taking common prime factors GCF of 2397 and 2400 is 3

Greatest Common Factor of 2397 and 2400 by matching factors method

Factors of 2397

List of positive integer factors of 2397 that divides 2397 without a remainder.

1,3,17,47,51,141,799,2397

Factors of 2400

List of positive integer factors of 2400 that divides 2400 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,32,40,48,50,60,75,80,96,100,120,150,160,200,240,300,400,480,600,800,1200,2400

Greatest Common Factor

We found the factors and prime factorization of 2397 and 2400. The biggest common factor number is the GCF number.
So the greatest common factor 2397 and 2400 is 3.

Also check out the Least Common Multiple of 2397 and 2400

Properties of GCF 2397 and 2400

(i) The GCF of 2397 and 2400 is associative

GCF of 2397 and 2400 = GCF of 2400 and 2397

Related Greatest Common Factor of 2397

Related Greatest Common Factor of 2400

Frequently Asked Questions on GCF of 2397 and 2400

1. What is the GCF of 2397 and 2400?

Answer: GCF of 2397 and 2400 is 3.

2. What are the Factors of 2397?

Answer: Factors of 2397 are 1, 3, 17, 47, 51, 141, 799, 2397. There are 8 integers that are factors of 2397. The greatest factor of 2397 is 2397.

3. What are the Factors of 2400?

Answer: Factors of 2400 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200, 2400. There are 36 integers that are factors of 2400. The greatest factor of 2400 is 2400.

4. How to Find the GCF of 2397 and 2400?

Answer:

Greatest Common Factor of 2397 and 2400 = 3

Step 1: Find the prime factorization of 2397

2397 = 3 x 17 x 47

Step 2: Find the prime factorization of 2400

2400 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5

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 2397 and 2400 is 3