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 4796, 4800 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4796 and 4800 is 4.
GCF(4796,4800) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4796
2 | 4796 |
2 | 2398 |
11 | 1199 |
109 | 109 |
1 |
Prime factors of 4796 are 2,11,109. Prime factorization of 4796 in exponential form is:
4796 = 22×111×1091
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 4796 and 4800 is 4
Factors of 4796
List of positive integer factors of 4796 that divides 4796 without a remainder.
1,2,4,11,22,44,109,218,436,1199,2398,4796
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 4796 and 4800. The biggest common factor number is the GCF number.
So the greatest common factor 4796 and 4800 is 4.
Also check out the Least Common Multiple of 4796 and 4800
(i) The GCF of 4796 and 4800 is associative
GCF of 4796 and 4800 = GCF of 4800 and 4796
1. What is the GCF of 4796 and 4800?
Answer: GCF of 4796 and 4800 is 4.
2. What are the Factors of 4796?
Answer: Factors of 4796 are 1, 2, 4, 11, 22, 44, 109, 218, 436, 1199, 2398, 4796. There are 12 integers that are factors of 4796. The greatest factor of 4796 is 4796.
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 4796 and 4800?
Answer:
Greatest Common Factor of 4796 and 4800 = 4
Step 1: Find the prime factorization of 4796
4796 = 2 x 2 x 11 x 109
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 = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 4796 and 4800 is 4