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 8230, 8231 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8230 and 8231 is 1.
GCF(8230,8231) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8230
2 | 8230 |
5 | 4115 |
823 | 823 |
1 |
Prime factors of 8230 are 2,5,823. Prime factorization of 8230 in exponential form is:
8230 = 21×51×8231
Prime Factorization of 8231
8231 | 8231 |
1 |
Prime factors of 8231 are 8231. Prime factorization of 8231 in exponential form is:
8231 = 82311
∴ So by taking common prime factors GCF of 8230 and 8231 is 1
Factors of 8230
List of positive integer factors of 8230 that divides 8230 without a remainder.
1,2,5,10,823,1646,4115,8230
Factors of 8231
List of positive integer factors of 8231 that divides 8231 without a remainder.
1,8231
Greatest Common Factor
We found the factors and prime factorization of 8230 and 8231. The biggest common factor number is the GCF number.
So the greatest common factor 8230 and 8231 is 1.
Also check out the Least Common Multiple of 8230 and 8231
(i) The GCF of 8230 and 8231 is associative
GCF of 8230 and 8231 = GCF of 8231 and 8230
1. What is the GCF of 8230 and 8231?
Answer: GCF of 8230 and 8231 is 1.
2. What are the Factors of 8230?
Answer: Factors of 8230 are 1, 2, 5, 10, 823, 1646, 4115, 8230. There are 8 integers that are factors of 8230. The greatest factor of 8230 is 8230.
3. What are the Factors of 8231?
Answer: Factors of 8231 are 1, 8231. There are 2 integers that are factors of 8231. The greatest factor of 8231 is 8231.
4. How to Find the GCF of 8230 and 8231?
Answer:
Greatest Common Factor of 8230 and 8231 = 1
Step 1: Find the prime factorization of 8230
8230 = 2 x 5 x 823
Step 2: Find the prime factorization of 8231
8231 = 8231
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 8230 and 8231 is 1