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 8223, 8230 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8223 and 8230 is 1.
GCF(8223,8230) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8223
3 | 8223 |
2741 | 2741 |
1 |
Prime factors of 8223 are 3,2741. Prime factorization of 8223 in exponential form is:
8223 = 31×27411
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
∴ So by taking common prime factors GCF of 8223 and 8230 is 1
Factors of 8223
List of positive integer factors of 8223 that divides 8223 without a remainder.
1,3,2741,8223
Factors of 8230
List of positive integer factors of 8230 that divides 8230 without a remainder.
1,2,5,10,823,1646,4115,8230
Greatest Common Factor
We found the factors and prime factorization of 8223 and 8230. The biggest common factor number is the GCF number.
So the greatest common factor 8223 and 8230 is 1.
Also check out the Least Common Multiple of 8223 and 8230
(i) The GCF of 8223 and 8230 is associative
GCF of 8223 and 8230 = GCF of 8230 and 8223
1. What is the GCF of 8223 and 8230?
Answer: GCF of 8223 and 8230 is 1.
2. What are the Factors of 8223?
Answer: Factors of 8223 are 1, 3, 2741, 8223. There are 4 integers that are factors of 8223. The greatest factor of 8223 is 8223.
3. 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.
4. How to Find the GCF of 8223 and 8230?
Answer:
Greatest Common Factor of 8223 and 8230 = 1
Step 1: Find the prime factorization of 8223
8223 = 3 x 2741
Step 2: Find the prime factorization of 8230
8230 = 2 x 5 x 823
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 8223 and 8230 is 1