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 3339, 3345 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3339 and 3345 is 3.
GCF(3339,3345) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3339
3 | 3339 |
3 | 1113 |
7 | 371 |
53 | 53 |
1 |
Prime factors of 3339 are 3,7,53. Prime factorization of 3339 in exponential form is:
3339 = 32×71×531
Prime Factorization of 3345
3 | 3345 |
5 | 1115 |
223 | 223 |
1 |
Prime factors of 3345 are 3,5,223. Prime factorization of 3345 in exponential form is:
3345 = 31×51×2231
∴ So by taking common prime factors GCF of 3339 and 3345 is 3
Factors of 3339
List of positive integer factors of 3339 that divides 3339 without a remainder.
1,3,7,9,21,53,63,159,371,477,1113,3339
Factors of 3345
List of positive integer factors of 3345 that divides 3345 without a remainder.
1,3,5,15,223,669,1115,3345
Greatest Common Factor
We found the factors and prime factorization of 3339 and 3345. The biggest common factor number is the GCF number.
So the greatest common factor 3339 and 3345 is 3.
Also check out the Least Common Multiple of 3339 and 3345
(i) The GCF of 3339 and 3345 is associative
GCF of 3339 and 3345 = GCF of 3345 and 3339
1. What is the GCF of 3339 and 3345?
Answer: GCF of 3339 and 3345 is 3.
2. What are the Factors of 3339?
Answer: Factors of 3339 are 1, 3, 7, 9, 21, 53, 63, 159, 371, 477, 1113, 3339. There are 12 integers that are factors of 3339. The greatest factor of 3339 is 3339.
3. What are the Factors of 3345?
Answer: Factors of 3345 are 1, 3, 5, 15, 223, 669, 1115, 3345. There are 8 integers that are factors of 3345. The greatest factor of 3345 is 3345.
4. How to Find the GCF of 3339 and 3345?
Answer:
Greatest Common Factor of 3339 and 3345 = 3
Step 1: Find the prime factorization of 3339
3339 = 3 x 3 x 7 x 53
Step 2: Find the prime factorization of 3345
3345 = 3 x 5 x 223
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 3339 and 3345 is 3