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, 8269 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8261 and 8269 is 1.
GCF(8261,8269) = 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 8269
8269 | 8269 |
1 |
Prime factors of 8269 are 8269. Prime factorization of 8269 in exponential form is:
8269 = 82691
∴ So by taking common prime factors GCF of 8261 and 8269 is 1
Factors of 8261
List of positive integer factors of 8261 that divides 8261 without a remainder.
1,11,751,8261
Factors of 8269
List of positive integer factors of 8269 that divides 8269 without a remainder.
1,8269
Greatest Common Factor
We found the factors and prime factorization of 8261 and 8269. The biggest common factor number is the GCF number.
So the greatest common factor 8261 and 8269 is 1.
Also check out the Least Common Multiple of 8261 and 8269
(i) The GCF of 8261 and 8269 is associative
GCF of 8261 and 8269 = GCF of 8269 and 8261
1. What is the GCF of 8261 and 8269?
Answer: GCF of 8261 and 8269 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 8269?
Answer: Factors of 8269 are 1, 8269. There are 2 integers that are factors of 8269. The greatest factor of 8269 is 8269.
4. How to Find the GCF of 8261 and 8269?
Answer:
Greatest Common Factor of 8261 and 8269 = 1
Step 1: Find the prime factorization of 8261
8261 = 11 x 751
Step 2: Find the prime factorization of 8269
8269 = 8269
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 8269 is 1