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 2846, 2853 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2846 and 2853 is 1.
GCF(2846,2853) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2846
2 | 2846 |
1423 | 1423 |
1 |
Prime factors of 2846 are 2,1423. Prime factorization of 2846 in exponential form is:
2846 = 21×14231
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
∴ So by taking common prime factors GCF of 2846 and 2853 is 1
Factors of 2846
List of positive integer factors of 2846 that divides 2846 without a remainder.
1,2,1423,2846
Factors of 2853
List of positive integer factors of 2853 that divides 2853 without a remainder.
1,3,9,317,951,2853
Greatest Common Factor
We found the factors and prime factorization of 2846 and 2853. The biggest common factor number is the GCF number.
So the greatest common factor 2846 and 2853 is 1.
Also check out the Least Common Multiple of 2846 and 2853
(i) The GCF of 2846 and 2853 is associative
GCF of 2846 and 2853 = GCF of 2853 and 2846
1. What is the GCF of 2846 and 2853?
Answer: GCF of 2846 and 2853 is 1.
2. What are the Factors of 2846?
Answer: Factors of 2846 are 1, 2, 1423, 2846. There are 4 integers that are factors of 2846. The greatest factor of 2846 is 2846.
3. 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.
4. How to Find the GCF of 2846 and 2853?
Answer:
Greatest Common Factor of 2846 and 2853 = 1
Step 1: Find the prime factorization of 2846
2846 = 2 x 1423
Step 2: Find the prime factorization of 2853
2853 = 3 x 3 x 317
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 2846 and 2853 is 1