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 2865, 2871 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2865 and 2871 is 3.
GCF(2865,2871) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 2871
3 | 2871 |
3 | 957 |
11 | 319 |
29 | 29 |
1 |
Prime factors of 2871 are 3,11,29. Prime factorization of 2871 in exponential form is:
2871 = 32×111×291
∴ So by taking common prime factors GCF of 2865 and 2871 is 3
Factors of 2865
List of positive integer factors of 2865 that divides 2865 without a remainder.
1,3,5,15,191,573,955,2865
Factors of 2871
List of positive integer factors of 2871 that divides 2871 without a remainder.
1,3,9,11,29,33,87,99,261,319,957,2871
Greatest Common Factor
We found the factors and prime factorization of 2865 and 2871. The biggest common factor number is the GCF number.
So the greatest common factor 2865 and 2871 is 3.
Also check out the Least Common Multiple of 2865 and 2871
(i) The GCF of 2865 and 2871 is associative
GCF of 2865 and 2871 = GCF of 2871 and 2865
1. What is the GCF of 2865 and 2871?
Answer: GCF of 2865 and 2871 is 3.
2. 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.
3. What are the Factors of 2871?
Answer: Factors of 2871 are 1, 3, 9, 11, 29, 33, 87, 99, 261, 319, 957, 2871. There are 12 integers that are factors of 2871. The greatest factor of 2871 is 2871.
4. How to Find the GCF of 2865 and 2871?
Answer:
Greatest Common Factor of 2865 and 2871 = 3
Step 1: Find the prime factorization of 2865
2865 = 3 x 5 x 191
Step 2: Find the prime factorization of 2871
2871 = 3 x 3 x 11 x 29
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 2865 and 2871 is 3