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 3816, 3819 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3816 and 3819 is 3.
GCF(3816,3819) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 3819
3 | 3819 |
19 | 1273 |
67 | 67 |
1 |
Prime factors of 3819 are 3,19,67. Prime factorization of 3819 in exponential form is:
3819 = 31×191×671
∴ So by taking common prime factors GCF of 3816 and 3819 is 3
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
Factors of 3819
List of positive integer factors of 3819 that divides 3819 without a remainder.
1,3,19,57,67,201,1273,3819
Greatest Common Factor
We found the factors and prime factorization of 3816 and 3819. The biggest common factor number is the GCF number.
So the greatest common factor 3816 and 3819 is 3.
Also check out the Least Common Multiple of 3816 and 3819
(i) The GCF of 3816 and 3819 is associative
GCF of 3816 and 3819 = GCF of 3819 and 3816
1. What is the GCF of 3816 and 3819?
Answer: GCF of 3816 and 3819 is 3.
2. 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.
3. What are the Factors of 3819?
Answer: Factors of 3819 are 1, 3, 19, 57, 67, 201, 1273, 3819. There are 8 integers that are factors of 3819. The greatest factor of 3819 is 3819.
4. How to Find the GCF of 3816 and 3819?
Answer:
Greatest Common Factor of 3816 and 3819 = 3
Step 1: Find the prime factorization of 3816
3816 = 2 x 2 x 2 x 3 x 3 x 53
Step 2: Find the prime factorization of 3819
3819 = 3 x 19 x 67
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 3816 and 3819 is 3