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 8106, 8109 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8106 and 8109 is 3.
GCF(8106,8109) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8106
2 | 8106 |
3 | 4053 |
7 | 1351 |
193 | 193 |
1 |
Prime factors of 8106 are 2,3,7,193. Prime factorization of 8106 in exponential form is:
8106 = 21×31×71×1931
Prime Factorization of 8109
3 | 8109 |
3 | 2703 |
17 | 901 |
53 | 53 |
1 |
Prime factors of 8109 are 3,17,53. Prime factorization of 8109 in exponential form is:
8109 = 32×171×531
∴ So by taking common prime factors GCF of 8106 and 8109 is 3
Factors of 8106
List of positive integer factors of 8106 that divides 8106 without a remainder.
1,2,3,6,7,14,21,42,193,386,579,1158,1351,2702,4053,8106
Factors of 8109
List of positive integer factors of 8109 that divides 8109 without a remainder.
1,3,9,17,51,53,153,159,477,901,2703,8109
Greatest Common Factor
We found the factors and prime factorization of 8106 and 8109. The biggest common factor number is the GCF number.
So the greatest common factor 8106 and 8109 is 3.
Also check out the Least Common Multiple of 8106 and 8109
(i) The GCF of 8106 and 8109 is associative
GCF of 8106 and 8109 = GCF of 8109 and 8106
1. What is the GCF of 8106 and 8109?
Answer: GCF of 8106 and 8109 is 3.
2. What are the Factors of 8106?
Answer: Factors of 8106 are 1, 2, 3, 6, 7, 14, 21, 42, 193, 386, 579, 1158, 1351, 2702, 4053, 8106. There are 16 integers that are factors of 8106. The greatest factor of 8106 is 8106.
3. What are the Factors of 8109?
Answer: Factors of 8109 are 1, 3, 9, 17, 51, 53, 153, 159, 477, 901, 2703, 8109. There are 12 integers that are factors of 8109. The greatest factor of 8109 is 8109.
4. How to Find the GCF of 8106 and 8109?
Answer:
Greatest Common Factor of 8106 and 8109 = 3
Step 1: Find the prime factorization of 8106
8106 = 2 x 3 x 7 x 193
Step 2: Find the prime factorization of 8109
8109 = 3 x 3 x 17 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 8106 and 8109 is 3