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, 8989 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8981 and 8989 is 1.
GCF(8981,8989) = 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 8989
89 | 8989 |
101 | 101 |
1 |
Prime factors of 8989 are 89,101. Prime factorization of 8989 in exponential form is:
8989 = 891×1011
∴ So by taking common prime factors GCF of 8981 and 8989 is 1
Factors of 8981
List of positive integer factors of 8981 that divides 8981 without a remainder.
1,7,1283,8981
Factors of 8989
List of positive integer factors of 8989 that divides 8989 without a remainder.
1,89,101,8989
Greatest Common Factor
We found the factors and prime factorization of 8981 and 8989. The biggest common factor number is the GCF number.
So the greatest common factor 8981 and 8989 is 1.
Also check out the Least Common Multiple of 8981 and 8989
(i) The GCF of 8981 and 8989 is associative
GCF of 8981 and 8989 = GCF of 8989 and 8981
1. What is the GCF of 8981 and 8989?
Answer: GCF of 8981 and 8989 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 8989?
Answer: Factors of 8989 are 1, 89, 101, 8989. There are 4 integers that are factors of 8989. The greatest factor of 8989 is 8989.
4. How to Find the GCF of 8981 and 8989?
Answer:
Greatest Common Factor of 8981 and 8989 = 1
Step 1: Find the prime factorization of 8981
8981 = 7 x 1283
Step 2: Find the prime factorization of 8989
8989 = 89 x 101
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 8989 is 1