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 8981, 8983 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8981 and 8983 is 1.
GCF(8981,8983) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8981
7 | 8981 |
1283 | 1283 |
1 |
Prime factors of 8981 are 7,1283. Prime factorization of 8981 in exponential form is:
8981 = 71×12831
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
∴ So by taking common prime factors GCF of 8981 and 8983 is 1
Factors of 8981
List of positive integer factors of 8981 that divides 8981 without a remainder.
1,7,1283,8981
Factors of 8983
List of positive integer factors of 8983 that divides 8983 without a remainder.
1,13,691,8983
Greatest Common Factor
We found the factors and prime factorization of 8981 and 8983. The biggest common factor number is the GCF number.
So the greatest common factor 8981 and 8983 is 1.
Also check out the Least Common Multiple of 8981 and 8983
(i) The GCF of 8981 and 8983 is associative
GCF of 8981 and 8983 = GCF of 8983 and 8981
1. What is the GCF of 8981 and 8983?
Answer: GCF of 8981 and 8983 is 1.
2. What are the Factors of 8981?
Answer: Factors of 8981 are 1, 7, 1283, 8981. There are 4 integers that are factors of 8981. The greatest factor of 8981 is 8981.
3. 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.
4. How to Find the GCF of 8981 and 8983?
Answer:
Greatest Common Factor of 8981 and 8983 = 1
Step 1: Find the prime factorization of 8981
8981 = 7 x 1283
Step 2: Find the prime factorization of 8983
8983 = 13 x 691
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 8981 and 8983 is 1