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 4830, 4838 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4830 and 4838 is 2.
GCF(4830,4838) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4830
2 | 4830 |
3 | 2415 |
5 | 805 |
7 | 161 |
23 | 23 |
1 |
Prime factors of 4830 are 2,3,5,7,23. Prime factorization of 4830 in exponential form is:
4830 = 21×31×51×71×231
Prime Factorization of 4838
2 | 4838 |
41 | 2419 |
59 | 59 |
1 |
Prime factors of 4838 are 2,41,59. Prime factorization of 4838 in exponential form is:
4838 = 21×411×591
∴ So by taking common prime factors GCF of 4830 and 4838 is 2
Factors of 4830
List of positive integer factors of 4830 that divides 4830 without a remainder.
1,2,3,5,6,7,10,14,15,21,23,30,35,42,46,69,70,105,115,138,161,210,230,322,345,483,690,805,966,1610,2415,4830
Factors of 4838
List of positive integer factors of 4838 that divides 4838 without a remainder.
1,2,41,59,82,118,2419,4838
Greatest Common Factor
We found the factors and prime factorization of 4830 and 4838. The biggest common factor number is the GCF number.
So the greatest common factor 4830 and 4838 is 2.
Also check out the Least Common Multiple of 4830 and 4838
(i) The GCF of 4830 and 4838 is associative
GCF of 4830 and 4838 = GCF of 4838 and 4830
1. What is the GCF of 4830 and 4838?
Answer: GCF of 4830 and 4838 is 2.
2. What are the Factors of 4830?
Answer: Factors of 4830 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 23, 30, 35, 42, 46, 69, 70, 105, 115, 138, 161, 210, 230, 322, 345, 483, 690, 805, 966, 1610, 2415, 4830. There are 32 integers that are factors of 4830. The greatest factor of 4830 is 4830.
3. What are the Factors of 4838?
Answer: Factors of 4838 are 1, 2, 41, 59, 82, 118, 2419, 4838. There are 8 integers that are factors of 4838. The greatest factor of 4838 is 4838.
4. How to Find the GCF of 4830 and 4838?
Answer:
Greatest Common Factor of 4830 and 4838 = 2
Step 1: Find the prime factorization of 4830
4830 = 2 x 3 x 5 x 7 x 23
Step 2: Find the prime factorization of 4838
4838 = 2 x 41 x 59
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 4830 and 4838 is 2