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 4896, 4899 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4896 and 4899 is 3.
GCF(4896,4899) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4896
2 | 4896 |
2 | 2448 |
2 | 1224 |
2 | 612 |
2 | 306 |
3 | 153 |
3 | 51 |
17 | 17 |
1 |
Prime factors of 4896 are 2,3,17. Prime factorization of 4896 in exponential form is:
4896 = 25×32×171
Prime Factorization of 4899
3 | 4899 |
23 | 1633 |
71 | 71 |
1 |
Prime factors of 4899 are 3,23,71. Prime factorization of 4899 in exponential form is:
4899 = 31×231×711
∴ So by taking common prime factors GCF of 4896 and 4899 is 3
Factors of 4896
List of positive integer factors of 4896 that divides 4896 without a remainder.
1,2,3,4,6,8,9,12,16,17,18,24,32,34,36,48,51,68,72,96,102,136,144,153,204,272,288,306,408,544,612,816,1224,1632,2448,4896
Factors of 4899
List of positive integer factors of 4899 that divides 4899 without a remainder.
1,3,23,69,71,213,1633,4899
Greatest Common Factor
We found the factors and prime factorization of 4896 and 4899. The biggest common factor number is the GCF number.
So the greatest common factor 4896 and 4899 is 3.
Also check out the Least Common Multiple of 4896 and 4899
(i) The GCF of 4896 and 4899 is associative
GCF of 4896 and 4899 = GCF of 4899 and 4896
1. What is the GCF of 4896 and 4899?
Answer: GCF of 4896 and 4899 is 3.
2. What are the Factors of 4896?
Answer: Factors of 4896 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 32, 34, 36, 48, 51, 68, 72, 96, 102, 136, 144, 153, 204, 272, 288, 306, 408, 544, 612, 816, 1224, 1632, 2448, 4896. There are 36 integers that are factors of 4896. The greatest factor of 4896 is 4896.
3. What are the Factors of 4899?
Answer: Factors of 4899 are 1, 3, 23, 69, 71, 213, 1633, 4899. There are 8 integers that are factors of 4899. The greatest factor of 4899 is 4899.
4. How to Find the GCF of 4896 and 4899?
Answer:
Greatest Common Factor of 4896 and 4899 = 3
Step 1: Find the prime factorization of 4896
4896 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 17
Step 2: Find the prime factorization of 4899
4899 = 3 x 23 x 71
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 4896 and 4899 is 3