Greatest Common Factor of 2400 and 2402

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, 2402 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2400 and 2402 is 2.

GCF(2400,2402) = 2

GCF of 2400 and 2402

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

GCF of:
and

Greatest Common Factor of 2400 and 2402

GCF of 2400 and 2402 is 2

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 2402


2 2402
1201 1201
1

Prime factors of 2402 are 2,1201. Prime factorization of 2402 in exponential form is:

2402 = 21×12011

∴ So by taking common prime factors GCF of 2400 and 2402 is 2

Greatest Common Factor of 2400 and 2402 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 2402

List of positive integer factors of 2402 that divides 2402 without a remainder.

1,2,1201,2402

Greatest Common Factor

We found the factors and prime factorization of 2400 and 2402. The biggest common factor number is the GCF number.
So the greatest common factor 2400 and 2402 is 2.

Also check out the Least Common Multiple of 2400 and 2402

Properties of GCF 2400 and 2402

(i) The GCF of 2400 and 2402 is associative

GCF of 2400 and 2402 = GCF of 2402 and 2400

Related Greatest Common Factor of 2400

Related Greatest Common Factor of 2402

Frequently Asked Questions on GCF of 2400 and 2402

1. What is the GCF of 2400 and 2402?

Answer: GCF of 2400 and 2402 is 2.

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 2402?

Answer: Factors of 2402 are 1, 2, 1201, 2402. There are 4 integers that are factors of 2402. The greatest factor of 2402 is 2402.

4. How to Find the GCF of 2400 and 2402?

Answer:

Greatest Common Factor of 2400 and 2402 = 2

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 2402

2402 = 2 x 1201

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

GCF = 2

Step 4: Therefore, the greatest common factor of 2400 and 2402 is 2