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 10330, 10335 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10330 and 10335 is 5.
GCF(10330,10335) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10330
2 | 10330 |
5 | 5165 |
1033 | 1033 |
1 |
Prime factors of 10330 are 2,5,1033. Prime factorization of 10330 in exponential form is:
10330 = 21×51×10331
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
∴ So by taking common prime factors GCF of 10330 and 10335 is 5
Factors of 10330
List of positive integer factors of 10330 that divides 10330 without a remainder.
1,2,5,10,1033,2066,5165,10330
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
Greatest Common Factor
We found the factors and prime factorization of 10330 and 10335. The biggest common factor number is the GCF number.
So the greatest common factor 10330 and 10335 is 5.
Also check out the Least Common Multiple of 10330 and 10335
(i) The GCF of 10330 and 10335 is associative
GCF of 10330 and 10335 = GCF of 10335 and 10330
1. What is the GCF of 10330 and 10335?
Answer: GCF of 10330 and 10335 is 5.
2. What are the Factors of 10330?
Answer: Factors of 10330 are 1, 2, 5, 10, 1033, 2066, 5165, 10330. There are 8 integers that are factors of 10330. The greatest factor of 10330 is 10330.
3. 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.
4. How to Find the GCF of 10330 and 10335?
Answer:
Greatest Common Factor of 10330 and 10335 = 5
Step 1: Find the prime factorization of 10330
10330 = 2 x 5 x 1033
Step 2: Find the prime factorization of 10335
10335 = 3 x 5 x 13 x 53
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 10330 and 10335 is 5