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 2871, 2877 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2871 and 2877 is 3.
GCF(2871,2877) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 2877
3 | 2877 |
7 | 959 |
137 | 137 |
1 |
Prime factors of 2877 are 3,7,137. Prime factorization of 2877 in exponential form is:
2877 = 31×71×1371
∴ So by taking common prime factors GCF of 2871 and 2877 is 3
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
Factors of 2877
List of positive integer factors of 2877 that divides 2877 without a remainder.
1,3,7,21,137,411,959,2877
Greatest Common Factor
We found the factors and prime factorization of 2871 and 2877. The biggest common factor number is the GCF number.
So the greatest common factor 2871 and 2877 is 3.
Also check out the Least Common Multiple of 2871 and 2877
(i) The GCF of 2871 and 2877 is associative
GCF of 2871 and 2877 = GCF of 2877 and 2871
1. What is the GCF of 2871 and 2877?
Answer: GCF of 2871 and 2877 is 3.
2. 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.
3. What are the Factors of 2877?
Answer: Factors of 2877 are 1, 3, 7, 21, 137, 411, 959, 2877. There are 8 integers that are factors of 2877. The greatest factor of 2877 is 2877.
4. How to Find the GCF of 2871 and 2877?
Answer:
Greatest Common Factor of 2871 and 2877 = 3
Step 1: Find the prime factorization of 2871
2871 = 3 x 3 x 11 x 29
Step 2: Find the prime factorization of 2877
2877 = 3 x 7 x 137
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 2871 and 2877 is 3