Greatest Common Factor of 4800 and 4805

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, 4805 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4800 and 4805 is 5.

GCF(4800,4805) = 5

GCF of 4800 and 4805

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

GCF of:
and

Greatest Common Factor of 4800 and 4805

GCF of 4800 and 4805 is 5

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 4805


5 4805
31 961
31 31
1

Prime factors of 4805 are 5,31. Prime factorization of 4805 in exponential form is:

4805 = 51×312

∴ So by taking common prime factors GCF of 4800 and 4805 is 5

Greatest Common Factor of 4800 and 4805 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 4805

List of positive integer factors of 4805 that divides 4805 without a remainder.

1,5,31,155,961,4805

Greatest Common Factor

We found the factors and prime factorization of 4800 and 4805. The biggest common factor number is the GCF number.
So the greatest common factor 4800 and 4805 is 5.

Also check out the Least Common Multiple of 4800 and 4805

Properties of GCF 4800 and 4805

(i) The GCF of 4800 and 4805 is associative

GCF of 4800 and 4805 = GCF of 4805 and 4800

Related Greatest Common Factor of 4800

Related Greatest Common Factor of 4805

Frequently Asked Questions on GCF of 4800 and 4805

1. What is the GCF of 4800 and 4805?

Answer: GCF of 4800 and 4805 is 5.

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 4805?

Answer: Factors of 4805 are 1, 5, 31, 155, 961, 4805. There are 6 integers that are factors of 4805. The greatest factor of 4805 is 4805.

4. How to Find the GCF of 4800 and 4805?

Answer:

Greatest Common Factor of 4800 and 4805 = 5

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 4805

4805 = 5 x 31 x 31

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

GCF = 5

Step 4: Therefore, the greatest common factor of 4800 and 4805 is 5