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 1065, 1069 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1065 and 1069 is 1.
GCF(1065,1069) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1065
3 | 1065 |
5 | 355 |
71 | 71 |
1 |
Prime factors of 1065 are 3,5,71. Prime factorization of 1065 in exponential form is:
1065 = 31×51×711
Prime Factorization of 1069
1069 | 1069 |
1 |
Prime factors of 1069 are 1069. Prime factorization of 1069 in exponential form is:
1069 = 10691
∴ So by taking common prime factors GCF of 1065 and 1069 is 1
Factors of 1065
List of positive integer factors of 1065 that divides 1065 without a remainder.
1,3,5,15,71,213,355,1065
Factors of 1069
List of positive integer factors of 1069 that divides 1069 without a remainder.
1,1069
Greatest Common Factor
We found the factors and prime factorization of 1065 and 1069. The biggest common factor number is the GCF number.
So the greatest common factor 1065 and 1069 is 1.
Also check out the Least Common Multiple of 1065 and 1069
(i) The GCF of 1065 and 1069 is associative
GCF of 1065 and 1069 = GCF of 1069 and 1065
1. What is the GCF of 1065 and 1069?
Answer: GCF of 1065 and 1069 is 1.
2. What are the Factors of 1065?
Answer: Factors of 1065 are 1, 3, 5, 15, 71, 213, 355, 1065. There are 8 integers that are factors of 1065. The greatest factor of 1065 is 1065.
3. What are the Factors of 1069?
Answer: Factors of 1069 are 1, 1069. There are 2 integers that are factors of 1069. The greatest factor of 1069 is 1069.
4. How to Find the GCF of 1065 and 1069?
Answer:
Greatest Common Factor of 1065 and 1069 = 1
Step 1: Find the prime factorization of 1065
1065 = 3 x 5 x 71
Step 2: Find the prime factorization of 1069
1069 = 1069
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 1065 and 1069 is 1