Greatest Common Factor of 5950 and 5957
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 5950, 5957 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5950 and 5957 is 7.
GCF(5950,5957) = 7
GCF of 5950 and 5957
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 5950 and 5957 by prime factorization method
- Greatest Common Factor of 5950 and 5957 by matching factors method
GCF of 5950 and 5957 is 7
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
Prime Factorization of 5957
| 7 | 5957 |
| 23 | 851 |
| 37 | 37 |
| 1 |
Prime factors of 5957 are 7,23,37. Prime factorization of 5957 in exponential form is:
5957 = 71×231×371
∴ So by taking common prime factors GCF of 5950 and 5957 is 7
Greatest Common Factor of 5950 and 5957 by matching factors method
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
Factors of 5957
List of positive integer factors of 5957 that divides 5957 without a remainder.
1,7,23,37,161,259,851,5957
Greatest Common Factor
We found the factors and prime factorization of 5950 and 5957. The biggest common factor number is the GCF number.
So the greatest common factor 5950 and 5957 is 7.
Also check out the Least Common Multiple of 5950 and 5957
Properties of GCF 5950 and 5957
(i) The GCF of 5950 and 5957 is associative
GCF of 5950 and 5957 = GCF of 5957 and 5950
Related Greatest Common Factor of 5950
Related Greatest Common Factor of 5957
Frequently Asked Questions on GCF of 5950 and 5957
1. What is the GCF of 5950 and 5957?
Answer: GCF of 5950 and 5957 is 7.
2. 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.
3. What are the Factors of 5957?
Answer: Factors of 5957 are 1, 7, 23, 37, 161, 259, 851, 5957. There are 8 integers that are factors of 5957. The greatest factor of 5957 is 5957.
4. How to Find the GCF of 5950 and 5957?
Answer:
Greatest Common Factor of 5950 and 5957 = 7
Step 1: Find the prime factorization of 5950
5950 = 2 x 5 x 5 x 7 x 17
Step 2: Find the prime factorization of 5957
5957 = 7 x 23 x 37
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 5950 and 5957 is 7