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 3059, 3060 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3059 and 3060 is 1.
GCF(3059,3060) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3059
7 | 3059 |
19 | 437 |
23 | 23 |
1 |
Prime factors of 3059 are 7,19,23. Prime factorization of 3059 in exponential form is:
3059 = 71×191×231
Prime Factorization of 3060
2 | 3060 |
2 | 1530 |
3 | 765 |
3 | 255 |
5 | 85 |
17 | 17 |
1 |
Prime factors of 3060 are 2,3,5,17. Prime factorization of 3060 in exponential form is:
3060 = 22×32×51×171
∴ So by taking common prime factors GCF of 3059 and 3060 is 1
Factors of 3059
List of positive integer factors of 3059 that divides 3059 without a remainder.
1,7,19,23,133,161,437,3059
Factors of 3060
List of positive integer factors of 3060 that divides 3060 without a remainder.
1,2,3,4,5,6,9,10,12,15,17,18,20,30,34,36,45,51,60,68,85,90,102,153,170,180,204,255,306,340,510,612,765,1020,1530,3060
Greatest Common Factor
We found the factors and prime factorization of 3059 and 3060. The biggest common factor number is the GCF number.
So the greatest common factor 3059 and 3060 is 1.
Also check out the Least Common Multiple of 3059 and 3060
(i) The GCF of 3059 and 3060 is associative
GCF of 3059 and 3060 = GCF of 3060 and 3059
1. What is the GCF of 3059 and 3060?
Answer: GCF of 3059 and 3060 is 1.
2. What are the Factors of 3059?
Answer: Factors of 3059 are 1, 7, 19, 23, 133, 161, 437, 3059. There are 8 integers that are factors of 3059. The greatest factor of 3059 is 3059.
3. What are the Factors of 3060?
Answer: Factors of 3060 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 30, 34, 36, 45, 51, 60, 68, 85, 90, 102, 153, 170, 180, 204, 255, 306, 340, 510, 612, 765, 1020, 1530, 3060. There are 36 integers that are factors of 3060. The greatest factor of 3060 is 3060.
4. How to Find the GCF of 3059 and 3060?
Answer:
Greatest Common Factor of 3059 and 3060 = 1
Step 1: Find the prime factorization of 3059
3059 = 7 x 19 x 23
Step 2: Find the prime factorization of 3060
3060 = 2 x 2 x 3 x 3 x 5 x 17
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 3059 and 3060 is 1