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 8073, 8081 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8073 and 8081 is 1.
GCF(8073,8081) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8073
3 | 8073 |
3 | 2691 |
3 | 897 |
13 | 299 |
23 | 23 |
1 |
Prime factors of 8073 are 3,13,23. Prime factorization of 8073 in exponential form is:
8073 = 33×131×231
Prime Factorization of 8081
8081 | 8081 |
1 |
Prime factors of 8081 are 8081. Prime factorization of 8081 in exponential form is:
8081 = 80811
∴ So by taking common prime factors GCF of 8073 and 8081 is 1
Factors of 8073
List of positive integer factors of 8073 that divides 8073 without a remainder.
1,3,9,13,23,27,39,69,117,207,299,351,621,897,2691,8073
Factors of 8081
List of positive integer factors of 8081 that divides 8081 without a remainder.
1,8081
Greatest Common Factor
We found the factors and prime factorization of 8073 and 8081. The biggest common factor number is the GCF number.
So the greatest common factor 8073 and 8081 is 1.
Also check out the Least Common Multiple of 8073 and 8081
(i) The GCF of 8073 and 8081 is associative
GCF of 8073 and 8081 = GCF of 8081 and 8073
1. What is the GCF of 8073 and 8081?
Answer: GCF of 8073 and 8081 is 1.
2. What are the Factors of 8073?
Answer: Factors of 8073 are 1, 3, 9, 13, 23, 27, 39, 69, 117, 207, 299, 351, 621, 897, 2691, 8073. There are 16 integers that are factors of 8073. The greatest factor of 8073 is 8073.
3. What are the Factors of 8081?
Answer: Factors of 8081 are 1, 8081. There are 2 integers that are factors of 8081. The greatest factor of 8081 is 8081.
4. How to Find the GCF of 8073 and 8081?
Answer:
Greatest Common Factor of 8073 and 8081 = 1
Step 1: Find the prime factorization of 8073
8073 = 3 x 3 x 3 x 13 x 23
Step 2: Find the prime factorization of 8081
8081 = 8081
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 8073 and 8081 is 1