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 10309, 10317 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10309 and 10317 is 1.
GCF(10309,10317) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10309
13 | 10309 |
13 | 793 |
61 | 61 |
1 |
Prime factors of 10309 are 13,61. Prime factorization of 10309 in exponential form is:
10309 = 132×611
Prime Factorization of 10317
3 | 10317 |
19 | 3439 |
181 | 181 |
1 |
Prime factors of 10317 are 3,19,181. Prime factorization of 10317 in exponential form is:
10317 = 31×191×1811
∴ So by taking common prime factors GCF of 10309 and 10317 is 1
Factors of 10309
List of positive integer factors of 10309 that divides 10309 without a remainder.
1,13,61,169,793,10309
Factors of 10317
List of positive integer factors of 10317 that divides 10317 without a remainder.
1,3,19,57,181,543,3439,10317
Greatest Common Factor
We found the factors and prime factorization of 10309 and 10317. The biggest common factor number is the GCF number.
So the greatest common factor 10309 and 10317 is 1.
Also check out the Least Common Multiple of 10309 and 10317
(i) The GCF of 10309 and 10317 is associative
GCF of 10309 and 10317 = GCF of 10317 and 10309
1. What is the GCF of 10309 and 10317?
Answer: GCF of 10309 and 10317 is 1.
2. What are the Factors of 10309?
Answer: Factors of 10309 are 1, 13, 61, 169, 793, 10309. There are 6 integers that are factors of 10309. The greatest factor of 10309 is 10309.
3. What are the Factors of 10317?
Answer: Factors of 10317 are 1, 3, 19, 57, 181, 543, 3439, 10317. There are 8 integers that are factors of 10317. The greatest factor of 10317 is 10317.
4. How to Find the GCF of 10309 and 10317?
Answer:
Greatest Common Factor of 10309 and 10317 = 1
Step 1: Find the prime factorization of 10309
10309 = 13 x 13 x 61
Step 2: Find the prime factorization of 10317
10317 = 3 x 19 x 181
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 10309 and 10317 is 1