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 1364, 1365 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1364 and 1365 is 1.
GCF(1364,1365) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1364
2 | 1364 |
2 | 682 |
11 | 341 |
31 | 31 |
1 |
Prime factors of 1364 are 2,11,31. Prime factorization of 1364 in exponential form is:
1364 = 22×111×311
Prime Factorization of 1365
3 | 1365 |
5 | 455 |
7 | 91 |
13 | 13 |
1 |
Prime factors of 1365 are 3,5,7,13. Prime factorization of 1365 in exponential form is:
1365 = 31×51×71×131
∴ So by taking common prime factors GCF of 1364 and 1365 is 1
Factors of 1364
List of positive integer factors of 1364 that divides 1364 without a remainder.
1,2,4,11,22,31,44,62,124,341,682,1364
Factors of 1365
List of positive integer factors of 1365 that divides 1365 without a remainder.
1,3,5,7,13,15,21,35,39,65,91,105,195,273,455,1365
Greatest Common Factor
We found the factors and prime factorization of 1364 and 1365. The biggest common factor number is the GCF number.
So the greatest common factor 1364 and 1365 is 1.
Also check out the Least Common Multiple of 1364 and 1365
(i) The GCF of 1364 and 1365 is associative
GCF of 1364 and 1365 = GCF of 1365 and 1364
1. What is the GCF of 1364 and 1365?
Answer: GCF of 1364 and 1365 is 1.
2. What are the Factors of 1364?
Answer: Factors of 1364 are 1, 2, 4, 11, 22, 31, 44, 62, 124, 341, 682, 1364. There are 12 integers that are factors of 1364. The greatest factor of 1364 is 1364.
3. What are the Factors of 1365?
Answer: Factors of 1365 are 1, 3, 5, 7, 13, 15, 21, 35, 39, 65, 91, 105, 195, 273, 455, 1365. There are 16 integers that are factors of 1365. The greatest factor of 1365 is 1365.
4. How to Find the GCF of 1364 and 1365?
Answer:
Greatest Common Factor of 1364 and 1365 = 1
Step 1: Find the prime factorization of 1364
1364 = 2 x 2 x 11 x 31
Step 2: Find the prime factorization of 1365
1365 = 3 x 5 x 7 x 13
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 1364 and 1365 is 1