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 2895, 2898 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2895 and 2898 is 3.
GCF(2895,2898) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2895
3 | 2895 |
5 | 965 |
193 | 193 |
1 |
Prime factors of 2895 are 3,5,193. Prime factorization of 2895 in exponential form is:
2895 = 31×51×1931
Prime Factorization of 2898
2 | 2898 |
3 | 1449 |
3 | 483 |
7 | 161 |
23 | 23 |
1 |
Prime factors of 2898 are 2,3,7,23. Prime factorization of 2898 in exponential form is:
2898 = 21×32×71×231
∴ So by taking common prime factors GCF of 2895 and 2898 is 3
Factors of 2895
List of positive integer factors of 2895 that divides 2895 without a remainder.
1,3,5,15,193,579,965,2895
Factors of 2898
List of positive integer factors of 2898 that divides 2898 without a remainder.
1,2,3,6,7,9,14,18,21,23,42,46,63,69,126,138,161,207,322,414,483,966,1449,2898
Greatest Common Factor
We found the factors and prime factorization of 2895 and 2898. The biggest common factor number is the GCF number.
So the greatest common factor 2895 and 2898 is 3.
Also check out the Least Common Multiple of 2895 and 2898
(i) The GCF of 2895 and 2898 is associative
GCF of 2895 and 2898 = GCF of 2898 and 2895
1. What is the GCF of 2895 and 2898?
Answer: GCF of 2895 and 2898 is 3.
2. What are the Factors of 2895?
Answer: Factors of 2895 are 1, 3, 5, 15, 193, 579, 965, 2895. There are 8 integers that are factors of 2895. The greatest factor of 2895 is 2895.
3. What are the Factors of 2898?
Answer: Factors of 2898 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 42, 46, 63, 69, 126, 138, 161, 207, 322, 414, 483, 966, 1449, 2898. There are 24 integers that are factors of 2898. The greatest factor of 2898 is 2898.
4. How to Find the GCF of 2895 and 2898?
Answer:
Greatest Common Factor of 2895 and 2898 = 3
Step 1: Find the prime factorization of 2895
2895 = 3 x 5 x 193
Step 2: Find the prime factorization of 2898
2898 = 2 x 3 x 3 x 7 x 23
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 2895 and 2898 is 3