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 5846, 5854 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5846 and 5854 is 2.
GCF(5846,5854) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5846
2 | 5846 |
37 | 2923 |
79 | 79 |
1 |
Prime factors of 5846 are 2,37,79. Prime factorization of 5846 in exponential form is:
5846 = 21×371×791
Prime Factorization of 5854
2 | 5854 |
2927 | 2927 |
1 |
Prime factors of 5854 are 2,2927. Prime factorization of 5854 in exponential form is:
5854 = 21×29271
∴ So by taking common prime factors GCF of 5846 and 5854 is 2
Factors of 5846
List of positive integer factors of 5846 that divides 5846 without a remainder.
1,2,37,74,79,158,2923,5846
Factors of 5854
List of positive integer factors of 5854 that divides 5854 without a remainder.
1,2,2927,5854
Greatest Common Factor
We found the factors and prime factorization of 5846 and 5854. The biggest common factor number is the GCF number.
So the greatest common factor 5846 and 5854 is 2.
Also check out the Least Common Multiple of 5846 and 5854
(i) The GCF of 5846 and 5854 is associative
GCF of 5846 and 5854 = GCF of 5854 and 5846
1. What is the GCF of 5846 and 5854?
Answer: GCF of 5846 and 5854 is 2.
2. What are the Factors of 5846?
Answer: Factors of 5846 are 1, 2, 37, 74, 79, 158, 2923, 5846. There are 8 integers that are factors of 5846. The greatest factor of 5846 is 5846.
3. What are the Factors of 5854?
Answer: Factors of 5854 are 1, 2, 2927, 5854. There are 4 integers that are factors of 5854. The greatest factor of 5854 is 5854.
4. How to Find the GCF of 5846 and 5854?
Answer:
Greatest Common Factor of 5846 and 5854 = 2
Step 1: Find the prime factorization of 5846
5846 = 2 x 37 x 79
Step 2: Find the prime factorization of 5854
5854 = 2 x 2927
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 5846 and 5854 is 2