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 2868, 2874 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2868 and 2874 is 6.
GCF(2868,2874) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2868
2 | 2868 |
2 | 1434 |
3 | 717 |
239 | 239 |
1 |
Prime factors of 2868 are 2,3,239. Prime factorization of 2868 in exponential form is:
2868 = 22×31×2391
Prime Factorization of 2874
2 | 2874 |
3 | 1437 |
479 | 479 |
1 |
Prime factors of 2874 are 2,3,479. Prime factorization of 2874 in exponential form is:
2874 = 21×31×4791
∴ So by taking common prime factors GCF of 2868 and 2874 is 6
Factors of 2868
List of positive integer factors of 2868 that divides 2868 without a remainder.
1,2,3,4,6,12,239,478,717,956,1434,2868
Factors of 2874
List of positive integer factors of 2874 that divides 2874 without a remainder.
1,2,3,6,479,958,1437,2874
Greatest Common Factor
We found the factors and prime factorization of 2868 and 2874. The biggest common factor number is the GCF number.
So the greatest common factor 2868 and 2874 is 6.
Also check out the Least Common Multiple of 2868 and 2874
(i) The GCF of 2868 and 2874 is associative
GCF of 2868 and 2874 = GCF of 2874 and 2868
1. What is the GCF of 2868 and 2874?
Answer: GCF of 2868 and 2874 is 6.
2. What are the Factors of 2868?
Answer: Factors of 2868 are 1, 2, 3, 4, 6, 12, 239, 478, 717, 956, 1434, 2868. There are 12 integers that are factors of 2868. The greatest factor of 2868 is 2868.
3. What are the Factors of 2874?
Answer: Factors of 2874 are 1, 2, 3, 6, 479, 958, 1437, 2874. There are 8 integers that are factors of 2874. The greatest factor of 2874 is 2874.
4. How to Find the GCF of 2868 and 2874?
Answer:
Greatest Common Factor of 2868 and 2874 = 6
Step 1: Find the prime factorization of 2868
2868 = 2 x 2 x 3 x 239
Step 2: Find the prime factorization of 2874
2874 = 2 x 3 x 479
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 3 = 6
Step 4: Therefore, the greatest common factor of 2868 and 2874 is 6