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 3828, 3830 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3828 and 3830 is 2.
GCF(3828,3830) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3828
2 | 3828 |
2 | 1914 |
3 | 957 |
11 | 319 |
29 | 29 |
1 |
Prime factors of 3828 are 2,3,11,29. Prime factorization of 3828 in exponential form is:
3828 = 22×31×111×291
Prime Factorization of 3830
2 | 3830 |
5 | 1915 |
383 | 383 |
1 |
Prime factors of 3830 are 2,5,383. Prime factorization of 3830 in exponential form is:
3830 = 21×51×3831
∴ So by taking common prime factors GCF of 3828 and 3830 is 2
Factors of 3828
List of positive integer factors of 3828 that divides 3828 without a remainder.
1,2,3,4,6,11,12,22,29,33,44,58,66,87,116,132,174,319,348,638,957,1276,1914,3828
Factors of 3830
List of positive integer factors of 3830 that divides 3830 without a remainder.
1,2,5,10,383,766,1915,3830
Greatest Common Factor
We found the factors and prime factorization of 3828 and 3830. The biggest common factor number is the GCF number.
So the greatest common factor 3828 and 3830 is 2.
Also check out the Least Common Multiple of 3828 and 3830
(i) The GCF of 3828 and 3830 is associative
GCF of 3828 and 3830 = GCF of 3830 and 3828
1. What is the GCF of 3828 and 3830?
Answer: GCF of 3828 and 3830 is 2.
2. What are the Factors of 3828?
Answer: Factors of 3828 are 1, 2, 3, 4, 6, 11, 12, 22, 29, 33, 44, 58, 66, 87, 116, 132, 174, 319, 348, 638, 957, 1276, 1914, 3828. There are 24 integers that are factors of 3828. The greatest factor of 3828 is 3828.
3. What are the Factors of 3830?
Answer: Factors of 3830 are 1, 2, 5, 10, 383, 766, 1915, 3830. There are 8 integers that are factors of 3830. The greatest factor of 3830 is 3830.
4. How to Find the GCF of 3828 and 3830?
Answer:
Greatest Common Factor of 3828 and 3830 = 2
Step 1: Find the prime factorization of 3828
3828 = 2 x 2 x 3 x 11 x 29
Step 2: Find the prime factorization of 3830
3830 = 2 x 5 x 383
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 3828 and 3830 is 2