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, 9085 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9078 and 9085 is 1.
GCF(9078,9085) = 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 9085
5 | 9085 |
23 | 1817 |
79 | 79 |
1 |
Prime factors of 9085 are 5,23,79. Prime factorization of 9085 in exponential form is:
9085 = 51×231×791
∴ So by taking common prime factors GCF of 9078 and 9085 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 9085
List of positive integer factors of 9085 that divides 9085 without a remainder.
1,5,23,79,115,395,1817,9085
Greatest Common Factor
We found the factors and prime factorization of 9078 and 9085. The biggest common factor number is the GCF number.
So the greatest common factor 9078 and 9085 is 1.
Also check out the Least Common Multiple of 9078 and 9085
(i) The GCF of 9078 and 9085 is associative
GCF of 9078 and 9085 = GCF of 9085 and 9078
1. What is the GCF of 9078 and 9085?
Answer: GCF of 9078 and 9085 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 9085?
Answer: Factors of 9085 are 1, 5, 23, 79, 115, 395, 1817, 9085. There are 8 integers that are factors of 9085. The greatest factor of 9085 is 9085.
4. How to Find the GCF of 9078 and 9085?
Answer:
Greatest Common Factor of 9078 and 9085 = 1
Step 1: Find the prime factorization of 9078
9078 = 2 x 3 x 17 x 89
Step 2: Find the prime factorization of 9085
9085 = 5 x 23 x 79
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 9085 is 1