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 8983, 8990 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8983 and 8990 is 1.
GCF(8983,8990) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8983
13 | 8983 |
691 | 691 |
1 |
Prime factors of 8983 are 13,691. Prime factorization of 8983 in exponential form is:
8983 = 131×6911
Prime Factorization of 8990
2 | 8990 |
5 | 4495 |
29 | 899 |
31 | 31 |
1 |
Prime factors of 8990 are 2,5,29,31. Prime factorization of 8990 in exponential form is:
8990 = 21×51×291×311
∴ So by taking common prime factors GCF of 8983 and 8990 is 1
Factors of 8983
List of positive integer factors of 8983 that divides 8983 without a remainder.
1,13,691,8983
Factors of 8990
List of positive integer factors of 8990 that divides 8990 without a remainder.
1,2,5,10,29,31,58,62,145,155,290,310,899,1798,4495,8990
Greatest Common Factor
We found the factors and prime factorization of 8983 and 8990. The biggest common factor number is the GCF number.
So the greatest common factor 8983 and 8990 is 1.
Also check out the Least Common Multiple of 8983 and 8990
(i) The GCF of 8983 and 8990 is associative
GCF of 8983 and 8990 = GCF of 8990 and 8983
1. What is the GCF of 8983 and 8990?
Answer: GCF of 8983 and 8990 is 1.
2. What are the Factors of 8983?
Answer: Factors of 8983 are 1, 13, 691, 8983. There are 4 integers that are factors of 8983. The greatest factor of 8983 is 8983.
3. What are the Factors of 8990?
Answer: Factors of 8990 are 1, 2, 5, 10, 29, 31, 58, 62, 145, 155, 290, 310, 899, 1798, 4495, 8990. There are 16 integers that are factors of 8990. The greatest factor of 8990 is 8990.
4. How to Find the GCF of 8983 and 8990?
Answer:
Greatest Common Factor of 8983 and 8990 = 1
Step 1: Find the prime factorization of 8983
8983 = 13 x 691
Step 2: Find the prime factorization of 8990
8990 = 2 x 5 x 29 x 31
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 8983 and 8990 is 1