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 8307, 8311 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8307 and 8311 is 1.
GCF(8307,8311) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8307
3 | 8307 |
3 | 2769 |
13 | 923 |
71 | 71 |
1 |
Prime factors of 8307 are 3,13,71. Prime factorization of 8307 in exponential form is:
8307 = 32×131×711
Prime Factorization of 8311
8311 | 8311 |
1 |
Prime factors of 8311 are 8311. Prime factorization of 8311 in exponential form is:
8311 = 83111
∴ So by taking common prime factors GCF of 8307 and 8311 is 1
Factors of 8307
List of positive integer factors of 8307 that divides 8307 without a remainder.
1,3,9,13,39,71,117,213,639,923,2769,8307
Factors of 8311
List of positive integer factors of 8311 that divides 8311 without a remainder.
1,8311
Greatest Common Factor
We found the factors and prime factorization of 8307 and 8311. The biggest common factor number is the GCF number.
So the greatest common factor 8307 and 8311 is 1.
Also check out the Least Common Multiple of 8307 and 8311
(i) The GCF of 8307 and 8311 is associative
GCF of 8307 and 8311 = GCF of 8311 and 8307
1. What is the GCF of 8307 and 8311?
Answer: GCF of 8307 and 8311 is 1.
2. What are the Factors of 8307?
Answer: Factors of 8307 are 1, 3, 9, 13, 39, 71, 117, 213, 639, 923, 2769, 8307. There are 12 integers that are factors of 8307. The greatest factor of 8307 is 8307.
3. What are the Factors of 8311?
Answer: Factors of 8311 are 1, 8311. There are 2 integers that are factors of 8311. The greatest factor of 8311 is 8311.
4. How to Find the GCF of 8307 and 8311?
Answer:
Greatest Common Factor of 8307 and 8311 = 1
Step 1: Find the prime factorization of 8307
8307 = 3 x 3 x 13 x 71
Step 2: Find the prime factorization of 8311
8311 = 8311
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 8307 and 8311 is 1