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, 3061 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3059 and 3061 is 1.
GCF(3059,3061) = 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 3061
3061 | 3061 |
1 |
Prime factors of 3061 are 3061. Prime factorization of 3061 in exponential form is:
3061 = 30611
∴ So by taking common prime factors GCF of 3059 and 3061 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 3061
List of positive integer factors of 3061 that divides 3061 without a remainder.
1,3061
Greatest Common Factor
We found the factors and prime factorization of 3059 and 3061. The biggest common factor number is the GCF number.
So the greatest common factor 3059 and 3061 is 1.
Also check out the Least Common Multiple of 3059 and 3061
(i) The GCF of 3059 and 3061 is associative
GCF of 3059 and 3061 = GCF of 3061 and 3059
1. What is the GCF of 3059 and 3061?
Answer: GCF of 3059 and 3061 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 3061?
Answer: Factors of 3061 are 1, 3061. There are 2 integers that are factors of 3061. The greatest factor of 3061 is 3061.
4. How to Find the GCF of 3059 and 3061?
Answer:
Greatest Common Factor of 3059 and 3061 = 1
Step 1: Find the prime factorization of 3059
3059 = 7 x 19 x 23
Step 2: Find the prime factorization of 3061
3061 = 3061
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 3061 is 1