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 5814, 5816 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5814 and 5816 is 2.
GCF(5814,5816) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5814
2 | 5814 |
3 | 2907 |
3 | 969 |
17 | 323 |
19 | 19 |
1 |
Prime factors of 5814 are 2,3,17,19. Prime factorization of 5814 in exponential form is:
5814 = 21×32×171×191
Prime Factorization of 5816
2 | 5816 |
2 | 2908 |
2 | 1454 |
727 | 727 |
1 |
Prime factors of 5816 are 2,727. Prime factorization of 5816 in exponential form is:
5816 = 23×7271
∴ So by taking common prime factors GCF of 5814 and 5816 is 2
Factors of 5814
List of positive integer factors of 5814 that divides 5814 without a remainder.
1,2,3,6,9,17,18,19,34,38,51,57,102,114,153,171,306,323,342,646,969,1938,2907,5814
Factors of 5816
List of positive integer factors of 5816 that divides 5816 without a remainder.
1,2,4,8,727,1454,2908,5816
Greatest Common Factor
We found the factors and prime factorization of 5814 and 5816. The biggest common factor number is the GCF number.
So the greatest common factor 5814 and 5816 is 2.
Also check out the Least Common Multiple of 5814 and 5816
(i) The GCF of 5814 and 5816 is associative
GCF of 5814 and 5816 = GCF of 5816 and 5814
1. What is the GCF of 5814 and 5816?
Answer: GCF of 5814 and 5816 is 2.
2. What are the Factors of 5814?
Answer: Factors of 5814 are 1, 2, 3, 6, 9, 17, 18, 19, 34, 38, 51, 57, 102, 114, 153, 171, 306, 323, 342, 646, 969, 1938, 2907, 5814. There are 24 integers that are factors of 5814. The greatest factor of 5814 is 5814.
3. What are the Factors of 5816?
Answer: Factors of 5816 are 1, 2, 4, 8, 727, 1454, 2908, 5816. There are 8 integers that are factors of 5816. The greatest factor of 5816 is 5816.
4. How to Find the GCF of 5814 and 5816?
Answer:
Greatest Common Factor of 5814 and 5816 = 2
Step 1: Find the prime factorization of 5814
5814 = 2 x 3 x 3 x 17 x 19
Step 2: Find the prime factorization of 5816
5816 = 2 x 2 x 2 x 727
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 5814 and 5816 is 2