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 2889, 2897 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2889 and 2897 is 1.
GCF(2889,2897) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2889
3 | 2889 |
3 | 963 |
3 | 321 |
107 | 107 |
1 |
Prime factors of 2889 are 3,107. Prime factorization of 2889 in exponential form is:
2889 = 33×1071
Prime Factorization of 2897
2897 | 2897 |
1 |
Prime factors of 2897 are 2897. Prime factorization of 2897 in exponential form is:
2897 = 28971
∴ So by taking common prime factors GCF of 2889 and 2897 is 1
Factors of 2889
List of positive integer factors of 2889 that divides 2889 without a remainder.
1,3,9,27,107,321,963,2889
Factors of 2897
List of positive integer factors of 2897 that divides 2897 without a remainder.
1,2897
Greatest Common Factor
We found the factors and prime factorization of 2889 and 2897. The biggest common factor number is the GCF number.
So the greatest common factor 2889 and 2897 is 1.
Also check out the Least Common Multiple of 2889 and 2897
(i) The GCF of 2889 and 2897 is associative
GCF of 2889 and 2897 = GCF of 2897 and 2889
1. What is the GCF of 2889 and 2897?
Answer: GCF of 2889 and 2897 is 1.
2. What are the Factors of 2889?
Answer: Factors of 2889 are 1, 3, 9, 27, 107, 321, 963, 2889. There are 8 integers that are factors of 2889. The greatest factor of 2889 is 2889.
3. What are the Factors of 2897?
Answer: Factors of 2897 are 1, 2897. There are 2 integers that are factors of 2897. The greatest factor of 2897 is 2897.
4. How to Find the GCF of 2889 and 2897?
Answer:
Greatest Common Factor of 2889 and 2897 = 1
Step 1: Find the prime factorization of 2889
2889 = 3 x 3 x 3 x 107
Step 2: Find the prime factorization of 2897
2897 = 2897
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 2889 and 2897 is 1