# Greatest Common Factor of 2400 and 2401

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 2400, 2401 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2400 and 2401 is 1.

GCF(2400,2401) = 1

## GCF of 2400 and 2401

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

GCF of:
and

### Greatest Common Factor of 2400 and 2401 by Prime factorization method

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 2401

 7 2401 7 343 7 49 7 7 1

Prime factors of 2401 are 7. Prime factorization of 2401 in exponential form is:

2401 = 74

∴ So by taking common prime factors GCF of 2400 and 2401 is 1

### Greatest Common Factor of 2400 and 2401 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 2401

List of positive integer factors of 2401 that divides 2401 without a remainder.

1,7,49,343,2401

Greatest Common Factor

We found the factors and prime factorization of 2400 and 2401. The biggest common factor number is the GCF number.
So the greatest common factor 2400 and 2401 is 1.

Also check out the Least Common Multiple of 2400 and 2401

### Properties of GCF 2400 and 2401

(i) The GCF of 2400 and 2401 is associative

GCF of 2400 and 2401 = GCF of 2401 and 2400

### Frequently Asked Questions on GCF of 2400 and 2401

1. What is the GCF of 2400 and 2401?

Answer: GCF of 2400 and 2401 is 1.

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 2401?

Answer: Factors of 2401 are 1, 7, 49, 343, 2401. There are 5 integers that are factors of 2401. The greatest factor of 2401 is 2401.

4. How to Find the GCF of 2400 and 2401?

Greatest Common Factor of 2400 and 2401 = 1

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 2401

2401 = 7 x 7 x 7 x 7

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 2400 and 2401 is 1 