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 8265, 8268 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8265 and 8268 is 3.
GCF(8265,8268) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8265
3 | 8265 |
5 | 2755 |
19 | 551 |
29 | 29 |
1 |
Prime factors of 8265 are 3,5,19,29. Prime factorization of 8265 in exponential form is:
8265 = 31×51×191×291
Prime Factorization of 8268
2 | 8268 |
2 | 4134 |
3 | 2067 |
13 | 689 |
53 | 53 |
1 |
Prime factors of 8268 are 2,3,13,53. Prime factorization of 8268 in exponential form is:
8268 = 22×31×131×531
∴ So by taking common prime factors GCF of 8265 and 8268 is 3
Factors of 8265
List of positive integer factors of 8265 that divides 8265 without a remainder.
1,3,5,15,19,29,57,87,95,145,285,435,551,1653,2755,8265
Factors of 8268
List of positive integer factors of 8268 that divides 8268 without a remainder.
1,2,3,4,6,12,13,26,39,52,53,78,106,156,159,212,318,636,689,1378,2067,2756,4134,8268
Greatest Common Factor
We found the factors and prime factorization of 8265 and 8268. The biggest common factor number is the GCF number.
So the greatest common factor 8265 and 8268 is 3.
Also check out the Least Common Multiple of 8265 and 8268
(i) The GCF of 8265 and 8268 is associative
GCF of 8265 and 8268 = GCF of 8268 and 8265
1. What is the GCF of 8265 and 8268?
Answer: GCF of 8265 and 8268 is 3.
2. What are the Factors of 8265?
Answer: Factors of 8265 are 1, 3, 5, 15, 19, 29, 57, 87, 95, 145, 285, 435, 551, 1653, 2755, 8265. There are 16 integers that are factors of 8265. The greatest factor of 8265 is 8265.
3. What are the Factors of 8268?
Answer: Factors of 8268 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 53, 78, 106, 156, 159, 212, 318, 636, 689, 1378, 2067, 2756, 4134, 8268. There are 24 integers that are factors of 8268. The greatest factor of 8268 is 8268.
4. How to Find the GCF of 8265 and 8268?
Answer:
Greatest Common Factor of 8265 and 8268 = 3
Step 1: Find the prime factorization of 8265
8265 = 3 x 5 x 19 x 29
Step 2: Find the prime factorization of 8268
8268 = 2 x 2 x 3 x 13 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 8265 and 8268 is 3