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 2678, 2685 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2678 and 2685 is 1.
GCF(2678,2685) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2678
2 | 2678 |
13 | 1339 |
103 | 103 |
1 |
Prime factors of 2678 are 2,13,103. Prime factorization of 2678 in exponential form is:
2678 = 21×131×1031
Prime Factorization of 2685
3 | 2685 |
5 | 895 |
179 | 179 |
1 |
Prime factors of 2685 are 3,5,179. Prime factorization of 2685 in exponential form is:
2685 = 31×51×1791
∴ So by taking common prime factors GCF of 2678 and 2685 is 1
Factors of 2678
List of positive integer factors of 2678 that divides 2678 without a remainder.
1,2,13,26,103,206,1339,2678
Factors of 2685
List of positive integer factors of 2685 that divides 2685 without a remainder.
1,3,5,15,179,537,895,2685
Greatest Common Factor
We found the factors and prime factorization of 2678 and 2685. The biggest common factor number is the GCF number.
So the greatest common factor 2678 and 2685 is 1.
Also check out the Least Common Multiple of 2678 and 2685
(i) The GCF of 2678 and 2685 is associative
GCF of 2678 and 2685 = GCF of 2685 and 2678
1. What is the GCF of 2678 and 2685?
Answer: GCF of 2678 and 2685 is 1.
2. What are the Factors of 2678?
Answer: Factors of 2678 are 1, 2, 13, 26, 103, 206, 1339, 2678. There are 8 integers that are factors of 2678. The greatest factor of 2678 is 2678.
3. What are the Factors of 2685?
Answer: Factors of 2685 are 1, 3, 5, 15, 179, 537, 895, 2685. There are 8 integers that are factors of 2685. The greatest factor of 2685 is 2685.
4. How to Find the GCF of 2678 and 2685?
Answer:
Greatest Common Factor of 2678 and 2685 = 1
Step 1: Find the prime factorization of 2678
2678 = 2 x 13 x 103
Step 2: Find the prime factorization of 2685
2685 = 3 x 5 x 179
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 2678 and 2685 is 1