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 2655, 2659 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2655 and 2659 is 1.
GCF(2655,2659) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2655
3 | 2655 |
3 | 885 |
5 | 295 |
59 | 59 |
1 |
Prime factors of 2655 are 3,5,59. Prime factorization of 2655 in exponential form is:
2655 = 32×51×591
Prime Factorization of 2659
2659 | 2659 |
1 |
Prime factors of 2659 are 2659. Prime factorization of 2659 in exponential form is:
2659 = 26591
∴ So by taking common prime factors GCF of 2655 and 2659 is 1
Factors of 2655
List of positive integer factors of 2655 that divides 2655 without a remainder.
1,3,5,9,15,45,59,177,295,531,885,2655
Factors of 2659
List of positive integer factors of 2659 that divides 2659 without a remainder.
1,2659
Greatest Common Factor
We found the factors and prime factorization of 2655 and 2659. The biggest common factor number is the GCF number.
So the greatest common factor 2655 and 2659 is 1.
Also check out the Least Common Multiple of 2655 and 2659
(i) The GCF of 2655 and 2659 is associative
GCF of 2655 and 2659 = GCF of 2659 and 2655
1. What is the GCF of 2655 and 2659?
Answer: GCF of 2655 and 2659 is 1.
2. What are the Factors of 2655?
Answer: Factors of 2655 are 1, 3, 5, 9, 15, 45, 59, 177, 295, 531, 885, 2655. There are 12 integers that are factors of 2655. The greatest factor of 2655 is 2655.
3. What are the Factors of 2659?
Answer: Factors of 2659 are 1, 2659. There are 2 integers that are factors of 2659. The greatest factor of 2659 is 2659.
4. How to Find the GCF of 2655 and 2659?
Answer:
Greatest Common Factor of 2655 and 2659 = 1
Step 1: Find the prime factorization of 2655
2655 = 3 x 3 x 5 x 59
Step 2: Find the prime factorization of 2659
2659 = 2659
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 2655 and 2659 is 1