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 8083, 8090 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8083 and 8090 is 1.
GCF(8083,8090) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8083
59 | 8083 |
137 | 137 |
1 |
Prime factors of 8083 are 59,137. Prime factorization of 8083 in exponential form is:
8083 = 591×1371
Prime Factorization of 8090
2 | 8090 |
5 | 4045 |
809 | 809 |
1 |
Prime factors of 8090 are 2,5,809. Prime factorization of 8090 in exponential form is:
8090 = 21×51×8091
∴ So by taking common prime factors GCF of 8083 and 8090 is 1
Factors of 8083
List of positive integer factors of 8083 that divides 8083 without a remainder.
1,59,137,8083
Factors of 8090
List of positive integer factors of 8090 that divides 8090 without a remainder.
1,2,5,10,809,1618,4045,8090
Greatest Common Factor
We found the factors and prime factorization of 8083 and 8090. The biggest common factor number is the GCF number.
So the greatest common factor 8083 and 8090 is 1.
Also check out the Least Common Multiple of 8083 and 8090
(i) The GCF of 8083 and 8090 is associative
GCF of 8083 and 8090 = GCF of 8090 and 8083
1. What is the GCF of 8083 and 8090?
Answer: GCF of 8083 and 8090 is 1.
2. What are the Factors of 8083?
Answer: Factors of 8083 are 1, 59, 137, 8083. There are 4 integers that are factors of 8083. The greatest factor of 8083 is 8083.
3. What are the Factors of 8090?
Answer: Factors of 8090 are 1, 2, 5, 10, 809, 1618, 4045, 8090. There are 8 integers that are factors of 8090. The greatest factor of 8090 is 8090.
4. How to Find the GCF of 8083 and 8090?
Answer:
Greatest Common Factor of 8083 and 8090 = 1
Step 1: Find the prime factorization of 8083
8083 = 59 x 137
Step 2: Find the prime factorization of 8090
8090 = 2 x 5 x 809
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 8083 and 8090 is 1