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 8990, 8993 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8990 and 8993 is 1.
GCF(8990,8993) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 8993
17 | 8993 |
23 | 529 |
23 | 23 |
1 |
Prime factors of 8993 are 17,23. Prime factorization of 8993 in exponential form is:
8993 = 171×232
∴ So by taking common prime factors GCF of 8990 and 8993 is 1
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
Factors of 8993
List of positive integer factors of 8993 that divides 8993 without a remainder.
1,17,23,391,529,8993
Greatest Common Factor
We found the factors and prime factorization of 8990 and 8993. The biggest common factor number is the GCF number.
So the greatest common factor 8990 and 8993 is 1.
Also check out the Least Common Multiple of 8990 and 8993
(i) The GCF of 8990 and 8993 is associative
GCF of 8990 and 8993 = GCF of 8993 and 8990
1. What is the GCF of 8990 and 8993?
Answer: GCF of 8990 and 8993 is 1.
2. 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.
3. What are the Factors of 8993?
Answer: Factors of 8993 are 1, 17, 23, 391, 529, 8993. There are 6 integers that are factors of 8993. The greatest factor of 8993 is 8993.
4. How to Find the GCF of 8990 and 8993?
Answer:
Greatest Common Factor of 8990 and 8993 = 1
Step 1: Find the prime factorization of 8990
8990 = 2 x 5 x 29 x 31
Step 2: Find the prime factorization of 8993
8993 = 17 x 23 x 23
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 8990 and 8993 is 1