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 8309, 8312 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8309 and 8312 is 1.
GCF(8309,8312) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8309
7 | 8309 |
1187 | 1187 |
1 |
Prime factors of 8309 are 7,1187. Prime factorization of 8309 in exponential form is:
8309 = 71×11871
Prime Factorization of 8312
2 | 8312 |
2 | 4156 |
2 | 2078 |
1039 | 1039 |
1 |
Prime factors of 8312 are 2,1039. Prime factorization of 8312 in exponential form is:
8312 = 23×10391
∴ So by taking common prime factors GCF of 8309 and 8312 is 1
Factors of 8309
List of positive integer factors of 8309 that divides 8309 without a remainder.
1,7,1187,8309
Factors of 8312
List of positive integer factors of 8312 that divides 8312 without a remainder.
1,2,4,8,1039,2078,4156,8312
Greatest Common Factor
We found the factors and prime factorization of 8309 and 8312. The biggest common factor number is the GCF number.
So the greatest common factor 8309 and 8312 is 1.
Also check out the Least Common Multiple of 8309 and 8312
(i) The GCF of 8309 and 8312 is associative
GCF of 8309 and 8312 = GCF of 8312 and 8309
1. What is the GCF of 8309 and 8312?
Answer: GCF of 8309 and 8312 is 1.
2. What are the Factors of 8309?
Answer: Factors of 8309 are 1, 7, 1187, 8309. There are 4 integers that are factors of 8309. The greatest factor of 8309 is 8309.
3. What are the Factors of 8312?
Answer: Factors of 8312 are 1, 2, 4, 8, 1039, 2078, 4156, 8312. There are 8 integers that are factors of 8312. The greatest factor of 8312 is 8312.
4. How to Find the GCF of 8309 and 8312?
Answer:
Greatest Common Factor of 8309 and 8312 = 1
Step 1: Find the prime factorization of 8309
8309 = 7 x 1187
Step 2: Find the prime factorization of 8312
8312 = 2 x 2 x 2 x 1039
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 8309 and 8312 is 1