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 9961, 9965 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9961 and 9965 is 1.
GCF(9961,9965) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9961
7 | 9961 |
1423 | 1423 |
1 |
Prime factors of 9961 are 7,1423. Prime factorization of 9961 in exponential form is:
9961 = 71×14231
Prime Factorization of 9965
5 | 9965 |
1993 | 1993 |
1 |
Prime factors of 9965 are 5,1993. Prime factorization of 9965 in exponential form is:
9965 = 51×19931
∴ So by taking common prime factors GCF of 9961 and 9965 is 1
Factors of 9961
List of positive integer factors of 9961 that divides 9961 without a remainder.
1,7,1423,9961
Factors of 9965
List of positive integer factors of 9965 that divides 9965 without a remainder.
1,5,1993,9965
Greatest Common Factor
We found the factors and prime factorization of 9961 and 9965. The biggest common factor number is the GCF number.
So the greatest common factor 9961 and 9965 is 1.
Also check out the Least Common Multiple of 9961 and 9965
(i) The GCF of 9961 and 9965 is associative
GCF of 9961 and 9965 = GCF of 9965 and 9961
1. What is the GCF of 9961 and 9965?
Answer: GCF of 9961 and 9965 is 1.
2. What are the Factors of 9961?
Answer: Factors of 9961 are 1, 7, 1423, 9961. There are 4 integers that are factors of 9961. The greatest factor of 9961 is 9961.
3. What are the Factors of 9965?
Answer: Factors of 9965 are 1, 5, 1993, 9965. There are 4 integers that are factors of 9965. The greatest factor of 9965 is 9965.
4. How to Find the GCF of 9961 and 9965?
Answer:
Greatest Common Factor of 9961 and 9965 = 1
Step 1: Find the prime factorization of 9961
9961 = 7 x 1423
Step 2: Find the prime factorization of 9965
9965 = 5 x 1993
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 9961 and 9965 is 1