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 5965, 5969 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5965 and 5969 is 1.
GCF(5965,5969) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 5969
47 | 5969 |
127 | 127 |
1 |
Prime factors of 5969 are 47,127. Prime factorization of 5969 in exponential form is:
5969 = 471×1271
∴ So by taking common prime factors GCF of 5965 and 5969 is 1
Factors of 5965
List of positive integer factors of 5965 that divides 5965 without a remainder.
1,5,1193,5965
Factors of 5969
List of positive integer factors of 5969 that divides 5969 without a remainder.
1,47,127,5969
Greatest Common Factor
We found the factors and prime factorization of 5965 and 5969. The biggest common factor number is the GCF number.
So the greatest common factor 5965 and 5969 is 1.
Also check out the Least Common Multiple of 5965 and 5969
(i) The GCF of 5965 and 5969 is associative
GCF of 5965 and 5969 = GCF of 5969 and 5965
1. What is the GCF of 5965 and 5969?
Answer: GCF of 5965 and 5969 is 1.
2. 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.
3. What are the Factors of 5969?
Answer: Factors of 5969 are 1, 47, 127, 5969. There are 4 integers that are factors of 5969. The greatest factor of 5969 is 5969.
4. How to Find the GCF of 5965 and 5969?
Answer:
Greatest Common Factor of 5965 and 5969 = 1
Step 1: Find the prime factorization of 5965
5965 = 5 x 1193
Step 2: Find the prime factorization of 5969
5969 = 47 x 127
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 5965 and 5969 is 1