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 8092, 8099 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8092 and 8099 is 7.
GCF(8092,8099) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8092
2 | 8092 |
2 | 4046 |
7 | 2023 |
17 | 289 |
17 | 17 |
1 |
Prime factors of 8092 are 2,7,17. Prime factorization of 8092 in exponential form is:
8092 = 22×71×172
Prime Factorization of 8099
7 | 8099 |
13 | 1157 |
89 | 89 |
1 |
Prime factors of 8099 are 7,13,89. Prime factorization of 8099 in exponential form is:
8099 = 71×131×891
∴ So by taking common prime factors GCF of 8092 and 8099 is 7
Factors of 8092
List of positive integer factors of 8092 that divides 8092 without a remainder.
1,2,4,7,14,17,28,34,68,119,238,289,476,578,1156,2023,4046,8092
Factors of 8099
List of positive integer factors of 8099 that divides 8099 without a remainder.
1,7,13,89,91,623,1157,8099
Greatest Common Factor
We found the factors and prime factorization of 8092 and 8099. The biggest common factor number is the GCF number.
So the greatest common factor 8092 and 8099 is 7.
Also check out the Least Common Multiple of 8092 and 8099
(i) The GCF of 8092 and 8099 is associative
GCF of 8092 and 8099 = GCF of 8099 and 8092
1. What is the GCF of 8092 and 8099?
Answer: GCF of 8092 and 8099 is 7.
2. What are the Factors of 8092?
Answer: Factors of 8092 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 289, 476, 578, 1156, 2023, 4046, 8092. There are 18 integers that are factors of 8092. The greatest factor of 8092 is 8092.
3. What are the Factors of 8099?
Answer: Factors of 8099 are 1, 7, 13, 89, 91, 623, 1157, 8099. There are 8 integers that are factors of 8099. The greatest factor of 8099 is 8099.
4. How to Find the GCF of 8092 and 8099?
Answer:
Greatest Common Factor of 8092 and 8099 = 7
Step 1: Find the prime factorization of 8092
8092 = 2 x 2 x 7 x 17 x 17
Step 2: Find the prime factorization of 8099
8099 = 7 x 13 x 89
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 8092 and 8099 is 7