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 3055, 3062 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3055 and 3062 is 1.
GCF(3055,3062) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3055
5 | 3055 |
13 | 611 |
47 | 47 |
1 |
Prime factors of 3055 are 5,13,47. Prime factorization of 3055 in exponential form is:
3055 = 51×131×471
Prime Factorization of 3062
2 | 3062 |
1531 | 1531 |
1 |
Prime factors of 3062 are 2,1531. Prime factorization of 3062 in exponential form is:
3062 = 21×15311
∴ So by taking common prime factors GCF of 3055 and 3062 is 1
Factors of 3055
List of positive integer factors of 3055 that divides 3055 without a remainder.
1,5,13,47,65,235,611,3055
Factors of 3062
List of positive integer factors of 3062 that divides 3062 without a remainder.
1,2,1531,3062
Greatest Common Factor
We found the factors and prime factorization of 3055 and 3062. The biggest common factor number is the GCF number.
So the greatest common factor 3055 and 3062 is 1.
Also check out the Least Common Multiple of 3055 and 3062
(i) The GCF of 3055 and 3062 is associative
GCF of 3055 and 3062 = GCF of 3062 and 3055
1. What is the GCF of 3055 and 3062?
Answer: GCF of 3055 and 3062 is 1.
2. What are the Factors of 3055?
Answer: Factors of 3055 are 1, 5, 13, 47, 65, 235, 611, 3055. There are 8 integers that are factors of 3055. The greatest factor of 3055 is 3055.
3. What are the Factors of 3062?
Answer: Factors of 3062 are 1, 2, 1531, 3062. There are 4 integers that are factors of 3062. The greatest factor of 3062 is 3062.
4. How to Find the GCF of 3055 and 3062?
Answer:
Greatest Common Factor of 3055 and 3062 = 1
Step 1: Find the prime factorization of 3055
3055 = 5 x 13 x 47
Step 2: Find the prime factorization of 3062
3062 = 2 x 1531
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 3055 and 3062 is 1