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 3078, 3085 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3078 and 3085 is 1.
GCF(3078,3085) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3078
2 | 3078 |
3 | 1539 |
3 | 513 |
3 | 171 |
3 | 57 |
19 | 19 |
1 |
Prime factors of 3078 are 2,3,19. Prime factorization of 3078 in exponential form is:
3078 = 21×34×191
Prime Factorization of 3085
5 | 3085 |
617 | 617 |
1 |
Prime factors of 3085 are 5,617. Prime factorization of 3085 in exponential form is:
3085 = 51×6171
∴ So by taking common prime factors GCF of 3078 and 3085 is 1
Factors of 3078
List of positive integer factors of 3078 that divides 3078 without a remainder.
1,2,3,6,9,18,19,27,38,54,57,81,114,162,171,342,513,1026,1539,3078
Factors of 3085
List of positive integer factors of 3085 that divides 3085 without a remainder.
1,5,617,3085
Greatest Common Factor
We found the factors and prime factorization of 3078 and 3085. The biggest common factor number is the GCF number.
So the greatest common factor 3078 and 3085 is 1.
Also check out the Least Common Multiple of 3078 and 3085
(i) The GCF of 3078 and 3085 is associative
GCF of 3078 and 3085 = GCF of 3085 and 3078
1. What is the GCF of 3078 and 3085?
Answer: GCF of 3078 and 3085 is 1.
2. What are the Factors of 3078?
Answer: Factors of 3078 are 1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 81, 114, 162, 171, 342, 513, 1026, 1539, 3078. There are 20 integers that are factors of 3078. The greatest factor of 3078 is 3078.
3. What are the Factors of 3085?
Answer: Factors of 3085 are 1, 5, 617, 3085. There are 4 integers that are factors of 3085. The greatest factor of 3085 is 3085.
4. How to Find the GCF of 3078 and 3085?
Answer:
Greatest Common Factor of 3078 and 3085 = 1
Step 1: Find the prime factorization of 3078
3078 = 2 x 3 x 3 x 3 x 3 x 19
Step 2: Find the prime factorization of 3085
3085 = 5 x 617
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 3078 and 3085 is 1