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 8675, 8683 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8675 and 8683 is 1.
GCF(8675,8683) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8675
5 | 8675 |
5 | 1735 |
347 | 347 |
1 |
Prime factors of 8675 are 5,347. Prime factorization of 8675 in exponential form is:
8675 = 52×3471
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 8675 and 8683 is 1
Factors of 8675
List of positive integer factors of 8675 that divides 8675 without a remainder.
1,5,25,347,1735,8675
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 8675 and 8683. The biggest common factor number is the GCF number.
So the greatest common factor 8675 and 8683 is 1.
Also check out the Least Common Multiple of 8675 and 8683
(i) The GCF of 8675 and 8683 is associative
GCF of 8675 and 8683 = GCF of 8683 and 8675
1. What is the GCF of 8675 and 8683?
Answer: GCF of 8675 and 8683 is 1.
2. What are the Factors of 8675?
Answer: Factors of 8675 are 1, 5, 25, 347, 1735, 8675. There are 6 integers that are factors of 8675. The greatest factor of 8675 is 8675.
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 8675 and 8683?
Answer:
Greatest Common Factor of 8675 and 8683 = 1
Step 1: Find the prime factorization of 8675
8675 = 5 x 5 x 347
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 8675 and 8683 is 1