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 10335, 10343 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10335 and 10343 is 1.
GCF(10335,10343) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10335
3 | 10335 |
5 | 3445 |
13 | 689 |
53 | 53 |
1 |
Prime factors of 10335 are 3,5,13,53. Prime factorization of 10335 in exponential form is:
10335 = 31×51×131×531
Prime Factorization of 10343
10343 | 10343 |
1 |
Prime factors of 10343 are 10343. Prime factorization of 10343 in exponential form is:
10343 = 103431
∴ So by taking common prime factors GCF of 10335 and 10343 is 1
Factors of 10335
List of positive integer factors of 10335 that divides 10335 without a remainder.
1,3,5,13,15,39,53,65,159,195,265,689,795,2067,3445,10335
Factors of 10343
List of positive integer factors of 10343 that divides 10343 without a remainder.
1,10343
Greatest Common Factor
We found the factors and prime factorization of 10335 and 10343. The biggest common factor number is the GCF number.
So the greatest common factor 10335 and 10343 is 1.
Also check out the Least Common Multiple of 10335 and 10343
(i) The GCF of 10335 and 10343 is associative
GCF of 10335 and 10343 = GCF of 10343 and 10335
1. What is the GCF of 10335 and 10343?
Answer: GCF of 10335 and 10343 is 1.
2. What are the Factors of 10335?
Answer: Factors of 10335 are 1, 3, 5, 13, 15, 39, 53, 65, 159, 195, 265, 689, 795, 2067, 3445, 10335. There are 16 integers that are factors of 10335. The greatest factor of 10335 is 10335.
3. What are the Factors of 10343?
Answer: Factors of 10343 are 1, 10343. There are 2 integers that are factors of 10343. The greatest factor of 10343 is 10343.
4. How to Find the GCF of 10335 and 10343?
Answer:
Greatest Common Factor of 10335 and 10343 = 1
Step 1: Find the prime factorization of 10335
10335 = 3 x 5 x 13 x 53
Step 2: Find the prime factorization of 10343
10343 = 10343
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 10335 and 10343 is 1