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 8261, 8265 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8261 and 8265 is 1.
GCF(8261,8265) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8261
11 | 8261 |
751 | 751 |
1 |
Prime factors of 8261 are 11,751. Prime factorization of 8261 in exponential form is:
8261 = 111×7511
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
∴ So by taking common prime factors GCF of 8261 and 8265 is 1
Factors of 8261
List of positive integer factors of 8261 that divides 8261 without a remainder.
1,11,751,8261
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
Greatest Common Factor
We found the factors and prime factorization of 8261 and 8265. The biggest common factor number is the GCF number.
So the greatest common factor 8261 and 8265 is 1.
Also check out the Least Common Multiple of 8261 and 8265
(i) The GCF of 8261 and 8265 is associative
GCF of 8261 and 8265 = GCF of 8265 and 8261
1. What is the GCF of 8261 and 8265?
Answer: GCF of 8261 and 8265 is 1.
2. What are the Factors of 8261?
Answer: Factors of 8261 are 1, 11, 751, 8261. There are 4 integers that are factors of 8261. The greatest factor of 8261 is 8261.
3. 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.
4. How to Find the GCF of 8261 and 8265?
Answer:
Greatest Common Factor of 8261 and 8265 = 1
Step 1: Find the prime factorization of 8261
8261 = 11 x 751
Step 2: Find the prime factorization of 8265
8265 = 3 x 5 x 19 x 29
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 8261 and 8265 is 1