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 9078, 9083 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9078 and 9083 is 1.
GCF(9078,9083) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9078
2 | 9078 |
3 | 4539 |
17 | 1513 |
89 | 89 |
1 |
Prime factors of 9078 are 2,3,17,89. Prime factorization of 9078 in exponential form is:
9078 = 21×31×171×891
Prime Factorization of 9083
31 | 9083 |
293 | 293 |
1 |
Prime factors of 9083 are 31,293. Prime factorization of 9083 in exponential form is:
9083 = 311×2931
∴ So by taking common prime factors GCF of 9078 and 9083 is 1
Factors of 9078
List of positive integer factors of 9078 that divides 9078 without a remainder.
1,2,3,6,17,34,51,89,102,178,267,534,1513,3026,4539,9078
Factors of 9083
List of positive integer factors of 9083 that divides 9083 without a remainder.
1,31,293,9083
Greatest Common Factor
We found the factors and prime factorization of 9078 and 9083. The biggest common factor number is the GCF number.
So the greatest common factor 9078 and 9083 is 1.
Also check out the Least Common Multiple of 9078 and 9083
(i) The GCF of 9078 and 9083 is associative
GCF of 9078 and 9083 = GCF of 9083 and 9078
1. What is the GCF of 9078 and 9083?
Answer: GCF of 9078 and 9083 is 1.
2. What are the Factors of 9078?
Answer: Factors of 9078 are 1, 2, 3, 6, 17, 34, 51, 89, 102, 178, 267, 534, 1513, 3026, 4539, 9078. There are 16 integers that are factors of 9078. The greatest factor of 9078 is 9078.
3. What are the Factors of 9083?
Answer: Factors of 9083 are 1, 31, 293, 9083. There are 4 integers that are factors of 9083. The greatest factor of 9083 is 9083.
4. How to Find the GCF of 9078 and 9083?
Answer:
Greatest Common Factor of 9078 and 9083 = 1
Step 1: Find the prime factorization of 9078
9078 = 2 x 3 x 17 x 89
Step 2: Find the prime factorization of 9083
9083 = 31 x 293
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 9078 and 9083 is 1