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 2860, 2868 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2860 and 2868 is 4.
GCF(2860,2868) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2860
2 | 2860 |
2 | 1430 |
5 | 715 |
11 | 143 |
13 | 13 |
1 |
Prime factors of 2860 are 2,5,11,13. Prime factorization of 2860 in exponential form is:
2860 = 22×51×111×131
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
∴ So by taking common prime factors GCF of 2860 and 2868 is 4
Factors of 2860
List of positive integer factors of 2860 that divides 2860 without a remainder.
1,2,4,5,10,11,13,20,22,26,44,52,55,65,110,130,143,220,260,286,572,715,1430,2860
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
Greatest Common Factor
We found the factors and prime factorization of 2860 and 2868. The biggest common factor number is the GCF number.
So the greatest common factor 2860 and 2868 is 4.
Also check out the Least Common Multiple of 2860 and 2868
(i) The GCF of 2860 and 2868 is associative
GCF of 2860 and 2868 = GCF of 2868 and 2860
1. What is the GCF of 2860 and 2868?
Answer: GCF of 2860 and 2868 is 4.
2. What are the Factors of 2860?
Answer: Factors of 2860 are 1, 2, 4, 5, 10, 11, 13, 20, 22, 26, 44, 52, 55, 65, 110, 130, 143, 220, 260, 286, 572, 715, 1430, 2860. There are 24 integers that are factors of 2860. The greatest factor of 2860 is 2860.
3. 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.
4. How to Find the GCF of 2860 and 2868?
Answer:
Greatest Common Factor of 2860 and 2868 = 4
Step 1: Find the prime factorization of 2860
2860 = 2 x 2 x 5 x 11 x 13
Step 2: Find the prime factorization of 2868
2868 = 2 x 2 x 3 x 239
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 2860 and 2868 is 4