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 3813, 3816 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3813 and 3816 is 3.
GCF(3813,3816) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3813
3 | 3813 |
31 | 1271 |
41 | 41 |
1 |
Prime factors of 3813 are 3,31,41. Prime factorization of 3813 in exponential form is:
3813 = 31×311×411
Prime Factorization of 3816
2 | 3816 |
2 | 1908 |
2 | 954 |
3 | 477 |
3 | 159 |
53 | 53 |
1 |
Prime factors of 3816 are 2,3,53. Prime factorization of 3816 in exponential form is:
3816 = 23×32×531
∴ So by taking common prime factors GCF of 3813 and 3816 is 3
Factors of 3813
List of positive integer factors of 3813 that divides 3813 without a remainder.
1,3,31,41,93,123,1271,3813
Factors of 3816
List of positive integer factors of 3816 that divides 3816 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,53,72,106,159,212,318,424,477,636,954,1272,1908,3816
Greatest Common Factor
We found the factors and prime factorization of 3813 and 3816. The biggest common factor number is the GCF number.
So the greatest common factor 3813 and 3816 is 3.
Also check out the Least Common Multiple of 3813 and 3816
(i) The GCF of 3813 and 3816 is associative
GCF of 3813 and 3816 = GCF of 3816 and 3813
1. What is the GCF of 3813 and 3816?
Answer: GCF of 3813 and 3816 is 3.
2. What are the Factors of 3813?
Answer: Factors of 3813 are 1, 3, 31, 41, 93, 123, 1271, 3813. There are 8 integers that are factors of 3813. The greatest factor of 3813 is 3813.
3. What are the Factors of 3816?
Answer: Factors of 3816 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 53, 72, 106, 159, 212, 318, 424, 477, 636, 954, 1272, 1908, 3816. There are 24 integers that are factors of 3816. The greatest factor of 3816 is 3816.
4. How to Find the GCF of 3813 and 3816?
Answer:
Greatest Common Factor of 3813 and 3816 = 3
Step 1: Find the prime factorization of 3813
3813 = 3 x 31 x 41
Step 2: Find the prime factorization of 3816
3816 = 2 x 2 x 2 x 3 x 3 x 53
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 3813 and 3816 is 3