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 2670, 2678 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2670 and 2678 is 2.
GCF(2670,2678) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2670
2 | 2670 |
3 | 1335 |
5 | 445 |
89 | 89 |
1 |
Prime factors of 2670 are 2,3,5,89. Prime factorization of 2670 in exponential form is:
2670 = 21×31×51×891
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
∴ So by taking common prime factors GCF of 2670 and 2678 is 2
Factors of 2670
List of positive integer factors of 2670 that divides 2670 without a remainder.
1,2,3,5,6,10,15,30,89,178,267,445,534,890,1335,2670
Factors of 2678
List of positive integer factors of 2678 that divides 2678 without a remainder.
1,2,13,26,103,206,1339,2678
Greatest Common Factor
We found the factors and prime factorization of 2670 and 2678. The biggest common factor number is the GCF number.
So the greatest common factor 2670 and 2678 is 2.
Also check out the Least Common Multiple of 2670 and 2678
(i) The GCF of 2670 and 2678 is associative
GCF of 2670 and 2678 = GCF of 2678 and 2670
1. What is the GCF of 2670 and 2678?
Answer: GCF of 2670 and 2678 is 2.
2. What are the Factors of 2670?
Answer: Factors of 2670 are 1, 2, 3, 5, 6, 10, 15, 30, 89, 178, 267, 445, 534, 890, 1335, 2670. There are 16 integers that are factors of 2670. The greatest factor of 2670 is 2670.
3. 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.
4. How to Find the GCF of 2670 and 2678?
Answer:
Greatest Common Factor of 2670 and 2678 = 2
Step 1: Find the prime factorization of 2670
2670 = 2 x 3 x 5 x 89
Step 2: Find the prime factorization of 2678
2678 = 2 x 13 x 103
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 2670 and 2678 is 2