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 8109, 8115 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8109 and 8115 is 3.
GCF(8109,8115) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 8115
3 | 8115 |
5 | 2705 |
541 | 541 |
1 |
Prime factors of 8115 are 3,5,541. Prime factorization of 8115 in exponential form is:
8115 = 31×51×5411
∴ So by taking common prime factors GCF of 8109 and 8115 is 3
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
Factors of 8115
List of positive integer factors of 8115 that divides 8115 without a remainder.
1,3,5,15,541,1623,2705,8115
Greatest Common Factor
We found the factors and prime factorization of 8109 and 8115. The biggest common factor number is the GCF number.
So the greatest common factor 8109 and 8115 is 3.
Also check out the Least Common Multiple of 8109 and 8115
(i) The GCF of 8109 and 8115 is associative
GCF of 8109 and 8115 = GCF of 8115 and 8109
1. What is the GCF of 8109 and 8115?
Answer: GCF of 8109 and 8115 is 3.
2. 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.
3. What are the Factors of 8115?
Answer: Factors of 8115 are 1, 3, 5, 15, 541, 1623, 2705, 8115. There are 8 integers that are factors of 8115. The greatest factor of 8115 is 8115.
4. How to Find the GCF of 8109 and 8115?
Answer:
Greatest Common Factor of 8109 and 8115 = 3
Step 1: Find the prime factorization of 8109
8109 = 3 x 3 x 17 x 53
Step 2: Find the prime factorization of 8115
8115 = 3 x 5 x 541
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 8109 and 8115 is 3