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 3058, 3065 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3058 and 3065 is 1.
GCF(3058,3065) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3058
2 | 3058 |
11 | 1529 |
139 | 139 |
1 |
Prime factors of 3058 are 2,11,139. Prime factorization of 3058 in exponential form is:
3058 = 21×111×1391
Prime Factorization of 3065
5 | 3065 |
613 | 613 |
1 |
Prime factors of 3065 are 5,613. Prime factorization of 3065 in exponential form is:
3065 = 51×6131
∴ So by taking common prime factors GCF of 3058 and 3065 is 1
Factors of 3058
List of positive integer factors of 3058 that divides 3058 without a remainder.
1,2,11,22,139,278,1529,3058
Factors of 3065
List of positive integer factors of 3065 that divides 3065 without a remainder.
1,5,613,3065
Greatest Common Factor
We found the factors and prime factorization of 3058 and 3065. The biggest common factor number is the GCF number.
So the greatest common factor 3058 and 3065 is 1.
Also check out the Least Common Multiple of 3058 and 3065
(i) The GCF of 3058 and 3065 is associative
GCF of 3058 and 3065 = GCF of 3065 and 3058
1. What is the GCF of 3058 and 3065?
Answer: GCF of 3058 and 3065 is 1.
2. What are the Factors of 3058?
Answer: Factors of 3058 are 1, 2, 11, 22, 139, 278, 1529, 3058. There are 8 integers that are factors of 3058. The greatest factor of 3058 is 3058.
3. What are the Factors of 3065?
Answer: Factors of 3065 are 1, 5, 613, 3065. There are 4 integers that are factors of 3065. The greatest factor of 3065 is 3065.
4. How to Find the GCF of 3058 and 3065?
Answer:
Greatest Common Factor of 3058 and 3065 = 1
Step 1: Find the prime factorization of 3058
3058 = 2 x 11 x 139
Step 2: Find the prime factorization of 3065
3065 = 5 x 613
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 3058 and 3065 is 1