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 5850, 5854 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5850 and 5854 is 2.
GCF(5850,5854) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5850
2 | 5850 |
3 | 2925 |
3 | 975 |
5 | 325 |
5 | 65 |
13 | 13 |
1 |
Prime factors of 5850 are 2,3,5,13. Prime factorization of 5850 in exponential form is:
5850 = 21×32×52×131
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 5850 and 5854 is 2
Factors of 5850
List of positive integer factors of 5850 that divides 5850 without a remainder.
1,2,3,5,6,9,10,13,15,18,25,26,30,39,45,50,65,75,78,90,117,130,150,195,225,234,325,390,450,585,650,975,1170,1950,2925,5850
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 5850 and 5854. The biggest common factor number is the GCF number.
So the greatest common factor 5850 and 5854 is 2.
Also check out the Least Common Multiple of 5850 and 5854
(i) The GCF of 5850 and 5854 is associative
GCF of 5850 and 5854 = GCF of 5854 and 5850
1. What is the GCF of 5850 and 5854?
Answer: GCF of 5850 and 5854 is 2.
2. What are the Factors of 5850?
Answer: Factors of 5850 are 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 25, 26, 30, 39, 45, 50, 65, 75, 78, 90, 117, 130, 150, 195, 225, 234, 325, 390, 450, 585, 650, 975, 1170, 1950, 2925, 5850. There are 36 integers that are factors of 5850. The greatest factor of 5850 is 5850.
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 5850 and 5854?
Answer:
Greatest Common Factor of 5850 and 5854 = 2
Step 1: Find the prime factorization of 5850
5850 = 2 x 3 x 3 x 5 x 5 x 13
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 5850 and 5854 is 2