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 3073, 3078 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3073 and 3078 is 1.
GCF(3073,3078) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3073
7 | 3073 |
439 | 439 |
1 |
Prime factors of 3073 are 7,439. Prime factorization of 3073 in exponential form is:
3073 = 71×4391
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
∴ So by taking common prime factors GCF of 3073 and 3078 is 1
Factors of 3073
List of positive integer factors of 3073 that divides 3073 without a remainder.
1,7,439,3073
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
Greatest Common Factor
We found the factors and prime factorization of 3073 and 3078. The biggest common factor number is the GCF number.
So the greatest common factor 3073 and 3078 is 1.
Also check out the Least Common Multiple of 3073 and 3078
(i) The GCF of 3073 and 3078 is associative
GCF of 3073 and 3078 = GCF of 3078 and 3073
1. What is the GCF of 3073 and 3078?
Answer: GCF of 3073 and 3078 is 1.
2. What are the Factors of 3073?
Answer: Factors of 3073 are 1, 7, 439, 3073. There are 4 integers that are factors of 3073. The greatest factor of 3073 is 3073.
3. 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.
4. How to Find the GCF of 3073 and 3078?
Answer:
Greatest Common Factor of 3073 and 3078 = 1
Step 1: Find the prime factorization of 3073
3073 = 7 x 439
Step 2: Find the prime factorization of 3078
3078 = 2 x 3 x 3 x 3 x 3 x 19
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 3073 and 3078 is 1