Greatest Common Factor of 2400 and 2404

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 2400, 2404 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2400 and 2404 is 4.

GCF(2400,2404) = 4

GCF of 2400 and 2404

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

GCF of:
and

Greatest Common Factor of 2400 and 2404

GCF of 2400 and 2404 is 4

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

Prime Factorization of 2404


2 2404
2 1202
601 601
1

Prime factors of 2404 are 2,601. Prime factorization of 2404 in exponential form is:

2404 = 22×6011

∴ So by taking common prime factors GCF of 2400 and 2404 is 4

Greatest Common Factor of 2400 and 2404 by matching factors method

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

Factors of 2404

List of positive integer factors of 2404 that divides 2404 without a remainder.

1,2,4,601,1202,2404

Greatest Common Factor

We found the factors and prime factorization of 2400 and 2404. The biggest common factor number is the GCF number.
So the greatest common factor 2400 and 2404 is 4.

Also check out the Least Common Multiple of 2400 and 2404

Properties of GCF 2400 and 2404

(i) The GCF of 2400 and 2404 is associative

GCF of 2400 and 2404 = GCF of 2404 and 2400

Related Greatest Common Factor of 2400

Related Greatest Common Factor of 2404

Frequently Asked Questions on GCF of 2400 and 2404

1. What is the GCF of 2400 and 2404?

Answer: GCF of 2400 and 2404 is 4.

2. 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.

3. What are the Factors of 2404?

Answer: Factors of 2404 are 1, 2, 4, 601, 1202, 2404. There are 6 integers that are factors of 2404. The greatest factor of 2404 is 2404.

4. How to Find the GCF of 2400 and 2404?

Answer:

Greatest Common Factor of 2400 and 2404 = 4

Step 1: Find the prime factorization of 2400

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

Step 2: Find the prime factorization of 2404

2404 = 2 x 2 x 601

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 2400 and 2404 is 4