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 5946, 5950 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5946 and 5950 is 2.
GCF(5946,5950) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5946
2 | 5946 |
3 | 2973 |
991 | 991 |
1 |
Prime factors of 5946 are 2,3,991. Prime factorization of 5946 in exponential form is:
5946 = 21×31×9911
Prime Factorization of 5950
2 | 5950 |
5 | 2975 |
5 | 595 |
7 | 119 |
17 | 17 |
1 |
Prime factors of 5950 are 2,5,7,17. Prime factorization of 5950 in exponential form is:
5950 = 21×52×71×171
∴ So by taking common prime factors GCF of 5946 and 5950 is 2
Factors of 5946
List of positive integer factors of 5946 that divides 5946 without a remainder.
1,2,3,6,991,1982,2973,5946
Factors of 5950
List of positive integer factors of 5950 that divides 5950 without a remainder.
1,2,5,7,10,14,17,25,34,35,50,70,85,119,170,175,238,350,425,595,850,1190,2975,5950
Greatest Common Factor
We found the factors and prime factorization of 5946 and 5950. The biggest common factor number is the GCF number.
So the greatest common factor 5946 and 5950 is 2.
Also check out the Least Common Multiple of 5946 and 5950
(i) The GCF of 5946 and 5950 is associative
GCF of 5946 and 5950 = GCF of 5950 and 5946
1. What is the GCF of 5946 and 5950?
Answer: GCF of 5946 and 5950 is 2.
2. What are the Factors of 5946?
Answer: Factors of 5946 are 1, 2, 3, 6, 991, 1982, 2973, 5946. There are 8 integers that are factors of 5946. The greatest factor of 5946 is 5946.
3. What are the Factors of 5950?
Answer: Factors of 5950 are 1, 2, 5, 7, 10, 14, 17, 25, 34, 35, 50, 70, 85, 119, 170, 175, 238, 350, 425, 595, 850, 1190, 2975, 5950. There are 24 integers that are factors of 5950. The greatest factor of 5950 is 5950.
4. How to Find the GCF of 5946 and 5950?
Answer:
Greatest Common Factor of 5946 and 5950 = 2
Step 1: Find the prime factorization of 5946
5946 = 2 x 3 x 991
Step 2: Find the prime factorization of 5950
5950 = 2 x 5 x 5 x 7 x 17
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 5946 and 5950 is 2