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, 3082 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3078 and 3082 is 2.
GCF(3078,3082) = 2
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 3082
2 | 3082 |
23 | 1541 |
67 | 67 |
1 |
Prime factors of 3082 are 2,23,67. Prime factorization of 3082 in exponential form is:
3082 = 21×231×671
∴ So by taking common prime factors GCF of 3078 and 3082 is 2
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 3082
List of positive integer factors of 3082 that divides 3082 without a remainder.
1,2,23,46,67,134,1541,3082
Greatest Common Factor
We found the factors and prime factorization of 3078 and 3082. The biggest common factor number is the GCF number.
So the greatest common factor 3078 and 3082 is 2.
Also check out the Least Common Multiple of 3078 and 3082
(i) The GCF of 3078 and 3082 is associative
GCF of 3078 and 3082 = GCF of 3082 and 3078
1. What is the GCF of 3078 and 3082?
Answer: GCF of 3078 and 3082 is 2.
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 3082?
Answer: Factors of 3082 are 1, 2, 23, 46, 67, 134, 1541, 3082. There are 8 integers that are factors of 3082. The greatest factor of 3082 is 3082.
4. How to Find the GCF of 3078 and 3082?
Answer:
Greatest Common Factor of 3078 and 3082 = 2
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 3082
3082 = 2 x 23 x 67
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 3078 and 3082 is 2