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 8346, 8349 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8346 and 8349 is 3.
GCF(8346,8349) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8346
2 | 8346 |
3 | 4173 |
13 | 1391 |
107 | 107 |
1 |
Prime factors of 8346 are 2,3,13,107. Prime factorization of 8346 in exponential form is:
8346 = 21×31×131×1071
Prime Factorization of 8349
3 | 8349 |
11 | 2783 |
11 | 253 |
23 | 23 |
1 |
Prime factors of 8349 are 3,11,23. Prime factorization of 8349 in exponential form is:
8349 = 31×112×231
∴ So by taking common prime factors GCF of 8346 and 8349 is 3
Factors of 8346
List of positive integer factors of 8346 that divides 8346 without a remainder.
1,2,3,6,13,26,39,78,107,214,321,642,1391,2782,4173,8346
Factors of 8349
List of positive integer factors of 8349 that divides 8349 without a remainder.
1,3,11,23,33,69,121,253,363,759,2783,8349
Greatest Common Factor
We found the factors and prime factorization of 8346 and 8349. The biggest common factor number is the GCF number.
So the greatest common factor 8346 and 8349 is 3.
Also check out the Least Common Multiple of 8346 and 8349
(i) The GCF of 8346 and 8349 is associative
GCF of 8346 and 8349 = GCF of 8349 and 8346
1. What is the GCF of 8346 and 8349?
Answer: GCF of 8346 and 8349 is 3.
2. What are the Factors of 8346?
Answer: Factors of 8346 are 1, 2, 3, 6, 13, 26, 39, 78, 107, 214, 321, 642, 1391, 2782, 4173, 8346. There are 16 integers that are factors of 8346. The greatest factor of 8346 is 8346.
3. What are the Factors of 8349?
Answer: Factors of 8349 are 1, 3, 11, 23, 33, 69, 121, 253, 363, 759, 2783, 8349. There are 12 integers that are factors of 8349. The greatest factor of 8349 is 8349.
4. How to Find the GCF of 8346 and 8349?
Answer:
Greatest Common Factor of 8346 and 8349 = 3
Step 1: Find the prime factorization of 8346
8346 = 2 x 3 x 13 x 107
Step 2: Find the prime factorization of 8349
8349 = 3 x 11 x 11 x 23
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 8346 and 8349 is 3