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, 2860 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2853 and 2860 is 1.
GCF(2853,2860) = 1
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 2860
2 | 2860 |
2 | 1430 |
5 | 715 |
11 | 143 |
13 | 13 |
1 |
Prime factors of 2860 are 2,5,11,13. Prime factorization of 2860 in exponential form is:
2860 = 22×51×111×131
∴ So by taking common prime factors GCF of 2853 and 2860 is 1
Factors of 2853
List of positive integer factors of 2853 that divides 2853 without a remainder.
1,3,9,317,951,2853
Factors of 2860
List of positive integer factors of 2860 that divides 2860 without a remainder.
1,2,4,5,10,11,13,20,22,26,44,52,55,65,110,130,143,220,260,286,572,715,1430,2860
Greatest Common Factor
We found the factors and prime factorization of 2853 and 2860. The biggest common factor number is the GCF number.
So the greatest common factor 2853 and 2860 is 1.
Also check out the Least Common Multiple of 2853 and 2860
(i) The GCF of 2853 and 2860 is associative
GCF of 2853 and 2860 = GCF of 2860 and 2853
1. What is the GCF of 2853 and 2860?
Answer: GCF of 2853 and 2860 is 1.
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 2860?
Answer: Factors of 2860 are 1, 2, 4, 5, 10, 11, 13, 20, 22, 26, 44, 52, 55, 65, 110, 130, 143, 220, 260, 286, 572, 715, 1430, 2860. There are 24 integers that are factors of 2860. The greatest factor of 2860 is 2860.
4. How to Find the GCF of 2853 and 2860?
Answer:
Greatest Common Factor of 2853 and 2860 = 1
Step 1: Find the prime factorization of 2853
2853 = 3 x 3 x 317
Step 2: Find the prime factorization of 2860
2860 = 2 x 2 x 5 x 11 x 13
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 2853 and 2860 is 1