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 2882, 2889 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2882 and 2889 is 1.
GCF(2882,2889) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2882
2 | 2882 |
11 | 1441 |
131 | 131 |
1 |
Prime factors of 2882 are 2,11,131. Prime factorization of 2882 in exponential form is:
2882 = 21×111×1311
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
∴ So by taking common prime factors GCF of 2882 and 2889 is 1
Factors of 2882
List of positive integer factors of 2882 that divides 2882 without a remainder.
1,2,11,22,131,262,1441,2882
Factors of 2889
List of positive integer factors of 2889 that divides 2889 without a remainder.
1,3,9,27,107,321,963,2889
Greatest Common Factor
We found the factors and prime factorization of 2882 and 2889. The biggest common factor number is the GCF number.
So the greatest common factor 2882 and 2889 is 1.
Also check out the Least Common Multiple of 2882 and 2889
(i) The GCF of 2882 and 2889 is associative
GCF of 2882 and 2889 = GCF of 2889 and 2882
1. What is the GCF of 2882 and 2889?
Answer: GCF of 2882 and 2889 is 1.
2. What are the Factors of 2882?
Answer: Factors of 2882 are 1, 2, 11, 22, 131, 262, 1441, 2882. There are 8 integers that are factors of 2882. The greatest factor of 2882 is 2882.
3. 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.
4. How to Find the GCF of 2882 and 2889?
Answer:
Greatest Common Factor of 2882 and 2889 = 1
Step 1: Find the prime factorization of 2882
2882 = 2 x 11 x 131
Step 2: Find the prime factorization of 2889
2889 = 3 x 3 x 3 x 107
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 2882 and 2889 is 1