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, 2865 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2860 and 2865 is 5.
GCF(2860,2865) = 5
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 2865
3 | 2865 |
5 | 955 |
191 | 191 |
1 |
Prime factors of 2865 are 3,5,191. Prime factorization of 2865 in exponential form is:
2865 = 31×51×1911
∴ So by taking common prime factors GCF of 2860 and 2865 is 5
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 2865
List of positive integer factors of 2865 that divides 2865 without a remainder.
1,3,5,15,191,573,955,2865
Greatest Common Factor
We found the factors and prime factorization of 2860 and 2865. The biggest common factor number is the GCF number.
So the greatest common factor 2860 and 2865 is 5.
Also check out the Least Common Multiple of 2860 and 2865
(i) The GCF of 2860 and 2865 is associative
GCF of 2860 and 2865 = GCF of 2865 and 2860
1. What is the GCF of 2860 and 2865?
Answer: GCF of 2860 and 2865 is 5.
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 2865?
Answer: Factors of 2865 are 1, 3, 5, 15, 191, 573, 955, 2865. There are 8 integers that are factors of 2865. The greatest factor of 2865 is 2865.
4. How to Find the GCF of 2860 and 2865?
Answer:
Greatest Common Factor of 2860 and 2865 = 5
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 2865
2865 = 3 x 5 x 191
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 2860 and 2865 is 5