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, 2862 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2860 and 2862 is 2.
GCF(2860,2862) = 2
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 2862
2 | 2862 |
3 | 1431 |
3 | 477 |
3 | 159 |
53 | 53 |
1 |
Prime factors of 2862 are 2,3,53. Prime factorization of 2862 in exponential form is:
2862 = 21×33×531
∴ So by taking common prime factors GCF of 2860 and 2862 is 2
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 2862
List of positive integer factors of 2862 that divides 2862 without a remainder.
1,2,3,6,9,18,27,53,54,106,159,318,477,954,1431,2862
Greatest Common Factor
We found the factors and prime factorization of 2860 and 2862. The biggest common factor number is the GCF number.
So the greatest common factor 2860 and 2862 is 2.
Also check out the Least Common Multiple of 2860 and 2862
(i) The GCF of 2860 and 2862 is associative
GCF of 2860 and 2862 = GCF of 2862 and 2860
1. What is the GCF of 2860 and 2862?
Answer: GCF of 2860 and 2862 is 2.
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 2862?
Answer: Factors of 2862 are 1, 2, 3, 6, 9, 18, 27, 53, 54, 106, 159, 318, 477, 954, 1431, 2862. There are 16 integers that are factors of 2862. The greatest factor of 2862 is 2862.
4. How to Find the GCF of 2860 and 2862?
Answer:
Greatest Common Factor of 2860 and 2862 = 2
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 2862
2862 = 2 x 3 x 3 x 3 x 53
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 2860 and 2862 is 2