Greatest Common Factor of 4795 and 4800

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 4795, 4800 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4795 and 4800 is 5.

GCF(4795,4800) = 5

GCF of 4795 and 4800

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

GCF of:
and

Greatest Common Factor of 4795 and 4800

GCF of 4795 and 4800 is 5

Prime Factorization of 4795


5 4795
7 959
137 137
1

Prime factors of 4795 are 5,7,137. Prime factorization of 4795 in exponential form is:

4795 = 51×71×1371

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

∴ So by taking common prime factors GCF of 4795 and 4800 is 5

Greatest Common Factor of 4795 and 4800 by matching factors method

Factors of 4795

List of positive integer factors of 4795 that divides 4795 without a remainder.

1,5,7,35,137,685,959,4795

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

Greatest Common Factor

We found the factors and prime factorization of 4795 and 4800. The biggest common factor number is the GCF number.
So the greatest common factor 4795 and 4800 is 5.

Also check out the Least Common Multiple of 4795 and 4800

Properties of GCF 4795 and 4800

(i) The GCF of 4795 and 4800 is associative

GCF of 4795 and 4800 = GCF of 4800 and 4795

Related Greatest Common Factor of 4795

Related Greatest Common Factor of 4800

Frequently Asked Questions on GCF of 4795 and 4800

1. What is the GCF of 4795 and 4800?

Answer: GCF of 4795 and 4800 is 5.

2. What are the Factors of 4795?

Answer: Factors of 4795 are 1, 5, 7, 35, 137, 685, 959, 4795. There are 8 integers that are factors of 4795. The greatest factor of 4795 is 4795.

3. 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.

4. How to Find the GCF of 4795 and 4800?

Answer:

Greatest Common Factor of 4795 and 4800 = 5

Step 1: Find the prime factorization of 4795

4795 = 5 x 7 x 137

Step 2: 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 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 4795 and 4800 is 5