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 8679, 8683 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8679 and 8683 is 1.
GCF(8679,8683) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8679
3 | 8679 |
11 | 2893 |
263 | 263 |
1 |
Prime factors of 8679 are 3,11,263. Prime factorization of 8679 in exponential form is:
8679 = 31×111×2631
Prime Factorization of 8683
19 | 8683 |
457 | 457 |
1 |
Prime factors of 8683 are 19,457. Prime factorization of 8683 in exponential form is:
8683 = 191×4571
∴ So by taking common prime factors GCF of 8679 and 8683 is 1
Factors of 8679
List of positive integer factors of 8679 that divides 8679 without a remainder.
1,3,11,33,263,789,2893,8679
Factors of 8683
List of positive integer factors of 8683 that divides 8683 without a remainder.
1,19,457,8683
Greatest Common Factor
We found the factors and prime factorization of 8679 and 8683. The biggest common factor number is the GCF number.
So the greatest common factor 8679 and 8683 is 1.
Also check out the Least Common Multiple of 8679 and 8683
(i) The GCF of 8679 and 8683 is associative
GCF of 8679 and 8683 = GCF of 8683 and 8679
1. What is the GCF of 8679 and 8683?
Answer: GCF of 8679 and 8683 is 1.
2. What are the Factors of 8679?
Answer: Factors of 8679 are 1, 3, 11, 33, 263, 789, 2893, 8679. There are 8 integers that are factors of 8679. The greatest factor of 8679 is 8679.
3. What are the Factors of 8683?
Answer: Factors of 8683 are 1, 19, 457, 8683. There are 4 integers that are factors of 8683. The greatest factor of 8683 is 8683.
4. How to Find the GCF of 8679 and 8683?
Answer:
Greatest Common Factor of 8679 and 8683 = 1
Step 1: Find the prime factorization of 8679
8679 = 3 x 11 x 263
Step 2: Find the prime factorization of 8683
8683 = 19 x 457
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 8679 and 8683 is 1