Greatest Common Factor of 4800 and 4804

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 4800, 4804 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4800 and 4804 is 4.

GCF(4800,4804) = 4

GCF of 4800 and 4804

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

GCF of:
and

Greatest Common Factor of 4800 and 4804

GCF of 4800 and 4804 is 4

Prime Factorization of 4800


2 4800
2 2400
2 1200
2 600
2 300
2 150
3 75
5 25
5 5
1

Prime factors of 4800 are 2,3,5. Prime factorization of 4800 in exponential form is:

4800 = 26×31×52

Prime Factorization of 4804


2 4804
2 2402
1201 1201
1

Prime factors of 4804 are 2,1201. Prime factorization of 4804 in exponential form is:

4804 = 22×12011

∴ So by taking common prime factors GCF of 4800 and 4804 is 4

Greatest Common Factor of 4800 and 4804 by matching factors method

Factors of 4800

List of positive integer factors of 4800 that divides 4800 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,32,40,48,50,60,64,75,80,96,100,120,150,160,192,200,240,300,320,400,480,600,800,960,1200,1600,2400,4800

Factors of 4804

List of positive integer factors of 4804 that divides 4804 without a remainder.

1,2,4,1201,2402,4804

Greatest Common Factor

We found the factors and prime factorization of 4800 and 4804. The biggest common factor number is the GCF number.
So the greatest common factor 4800 and 4804 is 4.

Also check out the Least Common Multiple of 4800 and 4804

Properties of GCF 4800 and 4804

(i) The GCF of 4800 and 4804 is associative

GCF of 4800 and 4804 = GCF of 4804 and 4800

Related Greatest Common Factor of 4800

Related Greatest Common Factor of 4804

Frequently Asked Questions on GCF of 4800 and 4804

1. What is the GCF of 4800 and 4804?

Answer: GCF of 4800 and 4804 is 4.

2. What are the Factors of 4800?

Answer: Factors of 4800 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 150, 160, 192, 200, 240, 300, 320, 400, 480, 600, 800, 960, 1200, 1600, 2400, 4800. There are 42 integers that are factors of 4800. The greatest factor of 4800 is 4800.

3. What are the Factors of 4804?

Answer: Factors of 4804 are 1, 2, 4, 1201, 2402, 4804. There are 6 integers that are factors of 4804. The greatest factor of 4804 is 4804.

4. How to Find the GCF of 4800 and 4804?

Answer:

Greatest Common Factor of 4800 and 4804 = 4

Step 1: Find the prime factorization of 4800

4800 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5

Step 2: Find the prime factorization of 4804

4804 = 2 x 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 x 2 = 4

Step 4: Therefore, the greatest common factor of 4800 and 4804 is 4