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 8965, 8969 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8965 and 8969 is 1.
GCF(8965,8969) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8965
5 | 8965 |
11 | 1793 |
163 | 163 |
1 |
Prime factors of 8965 are 5,11,163. Prime factorization of 8965 in exponential form is:
8965 = 51×111×1631
Prime Factorization of 8969
8969 | 8969 |
1 |
Prime factors of 8969 are 8969. Prime factorization of 8969 in exponential form is:
8969 = 89691
∴ So by taking common prime factors GCF of 8965 and 8969 is 1
Factors of 8965
List of positive integer factors of 8965 that divides 8965 without a remainder.
1,5,11,55,163,815,1793,8965
Factors of 8969
List of positive integer factors of 8969 that divides 8969 without a remainder.
1,8969
Greatest Common Factor
We found the factors and prime factorization of 8965 and 8969. The biggest common factor number is the GCF number.
So the greatest common factor 8965 and 8969 is 1.
Also check out the Least Common Multiple of 8965 and 8969
(i) The GCF of 8965 and 8969 is associative
GCF of 8965 and 8969 = GCF of 8969 and 8965
1. What is the GCF of 8965 and 8969?
Answer: GCF of 8965 and 8969 is 1.
2. What are the Factors of 8965?
Answer: Factors of 8965 are 1, 5, 11, 55, 163, 815, 1793, 8965. There are 8 integers that are factors of 8965. The greatest factor of 8965 is 8965.
3. What are the Factors of 8969?
Answer: Factors of 8969 are 1, 8969. There are 2 integers that are factors of 8969. The greatest factor of 8969 is 8969.
4. How to Find the GCF of 8965 and 8969?
Answer:
Greatest Common Factor of 8965 and 8969 = 1
Step 1: Find the prime factorization of 8965
8965 = 5 x 11 x 163
Step 2: Find the prime factorization of 8969
8969 = 8969
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 8965 and 8969 is 1