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 2853, 2859 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2853 and 2859 is 3.
GCF(2853,2859) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2853
3 | 2853 |
3 | 951 |
317 | 317 |
1 |
Prime factors of 2853 are 3,317. Prime factorization of 2853 in exponential form is:
2853 = 32×3171
Prime Factorization of 2859
3 | 2859 |
953 | 953 |
1 |
Prime factors of 2859 are 3,953. Prime factorization of 2859 in exponential form is:
2859 = 31×9531
∴ So by taking common prime factors GCF of 2853 and 2859 is 3
Factors of 2853
List of positive integer factors of 2853 that divides 2853 without a remainder.
1,3,9,317,951,2853
Factors of 2859
List of positive integer factors of 2859 that divides 2859 without a remainder.
1,3,953,2859
Greatest Common Factor
We found the factors and prime factorization of 2853 and 2859. The biggest common factor number is the GCF number.
So the greatest common factor 2853 and 2859 is 3.
Also check out the Least Common Multiple of 2853 and 2859
(i) The GCF of 2853 and 2859 is associative
GCF of 2853 and 2859 = GCF of 2859 and 2853
1. What is the GCF of 2853 and 2859?
Answer: GCF of 2853 and 2859 is 3.
2. What are the Factors of 2853?
Answer: Factors of 2853 are 1, 3, 9, 317, 951, 2853. There are 6 integers that are factors of 2853. The greatest factor of 2853 is 2853.
3. What are the Factors of 2859?
Answer: Factors of 2859 are 1, 3, 953, 2859. There are 4 integers that are factors of 2859. The greatest factor of 2859 is 2859.
4. How to Find the GCF of 2853 and 2859?
Answer:
Greatest Common Factor of 2853 and 2859 = 3
Step 1: Find the prime factorization of 2853
2853 = 3 x 3 x 317
Step 2: Find the prime factorization of 2859
2859 = 3 x 953
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 2853 and 2859 is 3