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 6961, 6965 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6961 and 6965 is 1.
GCF(6961,6965) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6961
6961 | 6961 |
1 |
Prime factors of 6961 are 6961. Prime factorization of 6961 in exponential form is:
6961 = 69611
Prime Factorization of 6965
5 | 6965 |
7 | 1393 |
199 | 199 |
1 |
Prime factors of 6965 are 5.Prime factorization of 6965 in exponential form is:
6965 = 51×71×1991
∴ So by taking common prime factors GCF of 6961 and 6965 is 1
Factors of 6961
List of positive integer factors of 6961 that divides 6961 without a remainder.
1,6961
Factors of 6965
List of positive integer factors of 6965 that divides 6965 without a remainder.
1,5,7,35,199,995,1393,6965
Greatest Common Factor
We found the factors and prime factorization of 6961 and 6965. The biggest common factor number is the GCF number.
So the greatest common factor 6961 and 6965 is 1.
Also check out the Least Common Multiple of 6961 and 6965
(i) The GCF of 6961 and 6965 is associative
GCF of 6961 and 6965 = GCF of 6965 and 6961
1. What is the GCF of 6961 and 6965?
Answer: GCF of 6961 and 6965 is 1.
2. What are the Factors of 6961?
Answer: Factors of 6961 are 1, 6961. There are 2 integers that are factors of 6961. The greatest factor of 6961 is 6961.
3. What are the Factors of 6965?
Answer: Factors of 6965 are 1, 5, 7, 35, 199, 995, 1393, 6965. There are 8 integers that are factors of 6965. The greatest factor of 6965 is 6965.
4. How to Find the GCF of 6961 and 6965?
Answer:
Greatest Common Factor of 6961 and 6965 = 1
Step 1: Find the prime factorization of 6961
6961 = 6961
Step 2: Find the prime factorization of 6965
6965 = 5 x 7 x 199
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 6961 and 6965 is 1