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 10303, 10309 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10303 and 10309 is 1.
GCF(10303,10309) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10303
10303 | 10303 |
1 |
Prime factors of 10303 are 10303. Prime factorization of 10303 in exponential form is:
10303 = 103031
Prime Factorization of 10309
13 | 10309 |
13 | 793 |
61 | 61 |
1 |
Prime factors of 10309 are 13.Prime factorization of 10309 in exponential form is:
10309 = 132×611
∴ So by taking common prime factors GCF of 10303 and 10309 is 1
Factors of 10303
List of positive integer factors of 10303 that divides 10303 without a remainder.
1,10303
Factors of 10309
List of positive integer factors of 10309 that divides 10309 without a remainder.
1,13,61,169,793,10309
Greatest Common Factor
We found the factors and prime factorization of 10303 and 10309. The biggest common factor number is the GCF number.
So the greatest common factor 10303 and 10309 is 1.
Also check out the Least Common Multiple of 10303 and 10309
(i) The GCF of 10303 and 10309 is associative
GCF of 10303 and 10309 = GCF of 10309 and 10303
1. What is the GCF of 10303 and 10309?
Answer: GCF of 10303 and 10309 is 1.
2. What are the Factors of 10303?
Answer: Factors of 10303 are 1, 10303. There are 2 integers that are factors of 10303. The greatest factor of 10303 is 10303.
3. 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.
4. How to Find the GCF of 10303 and 10309?
Answer:
Greatest Common Factor of 10303 and 10309 = 1
Step 1: Find the prime factorization of 10303
10303 = 10303
Step 2: Find the prime factorization of 10309
10309 = 13 x 13 x 61
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 10303 and 10309 is 1