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 5963, 5965 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5963 and 5965 is 1.
GCF(5963,5965) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5963
67 | 5963 |
89 | 89 |
1 |
Prime factors of 5963 are 67,89. Prime factorization of 5963 in exponential form is:
5963 = 671×891
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 5963 and 5965 is 1
Factors of 5963
List of positive integer factors of 5963 that divides 5963 without a remainder.
1,67,89,5963
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 5963 and 5965. The biggest common factor number is the GCF number.
So the greatest common factor 5963 and 5965 is 1.
Also check out the Least Common Multiple of 5963 and 5965
(i) The GCF of 5963 and 5965 is associative
GCF of 5963 and 5965 = GCF of 5965 and 5963
1. What is the GCF of 5963 and 5965?
Answer: GCF of 5963 and 5965 is 1.
2. What are the Factors of 5963?
Answer: Factors of 5963 are 1, 67, 89, 5963. There are 4 integers that are factors of 5963. The greatest factor of 5963 is 5963.
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 5963 and 5965?
Answer:
Greatest Common Factor of 5963 and 5965 = 1
Step 1: Find the prime factorization of 5963
5963 = 67 x 89
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 5963 and 5965 is 1