Greatest Common Factor of 965 and 969
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 965, 969 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 965 and 969 is 1.
GCF(965,969) = 1
GCF of 965 and 969
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 965 and 969 by prime factorization method
- Greatest Common Factor of 965 and 969 by matching factors method
GCF of 965 and 969 is 1
Prime Factorization of 965
| 5 | 965 |
| 193 | 193 |
| 1 |
Prime factors of 965 are 5,193. Prime factorization of 965 in exponential form is:
965 = 51×1931
Prime Factorization of 969
| 3 | 969 |
| 17 | 323 |
| 19 | 19 |
| 1 |
Prime factors of 969 are 3,17,19. Prime factorization of 969 in exponential form is:
969 = 31×171×191
∴ So by taking common prime factors GCF of 965 and 969 is 1
Greatest Common Factor of 965 and 969 by matching factors method
Factors of 965
List of positive integer factors of 965 that divides 965 without a remainder.
1,5,193,965
Factors of 969
List of positive integer factors of 969 that divides 969 without a remainder.
1,3,17,19,51,57,323,969
Greatest Common Factor
We found the factors and prime factorization of 965 and 969. The biggest common factor number is the GCF number.
So the greatest common factor 965 and 969 is 1.
Also check out the Least Common Multiple of 965 and 969
Properties of GCF 965 and 969
(i) The GCF of 965 and 969 is associative
GCF of 965 and 969 = GCF of 969 and 965
Related Greatest Common Factor of 965
Related Greatest Common Factor of 969
Frequently Asked Questions on GCF of 965 and 969
1. What is the GCF of 965 and 969?
Answer: GCF of 965 and 969 is 1.
2. What are the Factors of 965?
Answer: Factors of 965 are 1, 5, 193, 965. There are 4 integers that are factors of 965. The greatest factor of 965 is 965.
3. What are the Factors of 969?
Answer: Factors of 969 are 1, 3, 17, 19, 51, 57, 323, 969. There are 8 integers that are factors of 969. The greatest factor of 969 is 969.
4. How to Find the GCF of 965 and 969?
Answer:
Greatest Common Factor of 965 and 969 = 1
Step 1: Find the prime factorization of 965
965 = 5 x 193
Step 2: Find the prime factorization of 969
969 = 3 x 17 x 19
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 965 and 969 is 1