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 7081, 7089 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7081 and 7089 is 1.
GCF(7081,7089) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7081
73 | 7081 |
97 | 97 |
1 |
Prime factors of 7081 are 73,97. Prime factorization of 7081 in exponential form is:
7081 = 731×971
Prime Factorization of 7089
3 | 7089 |
17 | 2363 |
139 | 139 |
1 |
Prime factors of 7089 are 3,17,139. Prime factorization of 7089 in exponential form is:
7089 = 31×171×1391
∴ So by taking common prime factors GCF of 7081 and 7089 is 1
Factors of 7081
List of positive integer factors of 7081 that divides 7081 without a remainder.
1,73,97,7081
Factors of 7089
List of positive integer factors of 7089 that divides 7089 without a remainder.
1,3,17,51,139,417,2363,7089
Greatest Common Factor
We found the factors and prime factorization of 7081 and 7089. The biggest common factor number is the GCF number.
So the greatest common factor 7081 and 7089 is 1.
Also check out the Least Common Multiple of 7081 and 7089
(i) The GCF of 7081 and 7089 is associative
GCF of 7081 and 7089 = GCF of 7089 and 7081
1. What is the GCF of 7081 and 7089?
Answer: GCF of 7081 and 7089 is 1.
2. What are the Factors of 7081?
Answer: Factors of 7081 are 1, 73, 97, 7081. There are 4 integers that are factors of 7081. The greatest factor of 7081 is 7081.
3. What are the Factors of 7089?
Answer: Factors of 7089 are 1, 3, 17, 51, 139, 417, 2363, 7089. There are 8 integers that are factors of 7089. The greatest factor of 7089 is 7089.
4. How to Find the GCF of 7081 and 7089?
Answer:
Greatest Common Factor of 7081 and 7089 = 1
Step 1: Find the prime factorization of 7081
7081 = 73 x 97
Step 2: Find the prime factorization of 7089
7089 = 3 x 17 x 139
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 7081 and 7089 is 1