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 5957, 5965 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5957 and 5965 is 1.
GCF(5957,5965) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 5965
5 | 5965 |
1193 | 1193 |
1 |
Prime factors of 5965 are 5,1193. Prime factorization of 5965 in exponential form is:
5965 = 51×11931
∴ So by taking common prime factors GCF of 5957 and 5965 is 1
Factors of 5957
List of positive integer factors of 5957 that divides 5957 without a remainder.
1,7,23,37,161,259,851,5957
Factors of 5965
List of positive integer factors of 5965 that divides 5965 without a remainder.
1,5,1193,5965
Greatest Common Factor
We found the factors and prime factorization of 5957 and 5965. The biggest common factor number is the GCF number.
So the greatest common factor 5957 and 5965 is 1.
Also check out the Least Common Multiple of 5957 and 5965
(i) The GCF of 5957 and 5965 is associative
GCF of 5957 and 5965 = GCF of 5965 and 5957
1. What is the GCF of 5957 and 5965?
Answer: GCF of 5957 and 5965 is 1.
2. 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.
3. What are the Factors of 5965?
Answer: Factors of 5965 are 1, 5, 1193, 5965. There are 4 integers that are factors of 5965. The greatest factor of 5965 is 5965.
4. How to Find the GCF of 5957 and 5965?
Answer:
Greatest Common Factor of 5957 and 5965 = 1
Step 1: Find the prime factorization of 5957
5957 = 7 x 23 x 37
Step 2: Find the prime factorization of 5965
5965 = 5 x 1193
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 5957 and 5965 is 1