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, 8314 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8307 and 8314 is 1.
GCF(8307,8314) = 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 8314
2 | 8314 |
4157 | 4157 |
1 |
Prime factors of 8314 are 2,4157. Prime factorization of 8314 in exponential form is:
8314 = 21×41571
∴ So by taking common prime factors GCF of 8307 and 8314 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 8314
List of positive integer factors of 8314 that divides 8314 without a remainder.
1,2,4157,8314
Greatest Common Factor
We found the factors and prime factorization of 8307 and 8314. The biggest common factor number is the GCF number.
So the greatest common factor 8307 and 8314 is 1.
Also check out the Least Common Multiple of 8307 and 8314
(i) The GCF of 8307 and 8314 is associative
GCF of 8307 and 8314 = GCF of 8314 and 8307
1. What is the GCF of 8307 and 8314?
Answer: GCF of 8307 and 8314 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 8314?
Answer: Factors of 8314 are 1, 2, 4157, 8314. There are 4 integers that are factors of 8314. The greatest factor of 8314 is 8314.
4. How to Find the GCF of 8307 and 8314?
Answer:
Greatest Common Factor of 8307 and 8314 = 1
Step 1: Find the prime factorization of 8307
8307 = 3 x 3 x 13 x 71
Step 2: Find the prime factorization of 8314
8314 = 2 x 4157
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 8314 is 1