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 333, 339 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 333 and 339 is 3.
GCF(333,339) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 333
3 | 333 |
3 | 111 |
37 | 37 |
1 |
Prime factors of 333 are 3,37. Prime factorization of 333 in exponential form is:
333 = 32×371
Prime Factorization of 339
3 | 339 |
113 | 113 |
1 |
Prime factors of 339 are 3,113. Prime factorization of 339 in exponential form is:
339 = 31×1131
∴ So by taking common prime factors GCF of 333 and 339 is 3
Factors of 333
List of positive integer factors of 333 that divides 333 without a remainder.
1,3,9,37,111,333
Factors of 339
List of positive integer factors of 339 that divides 339 without a remainder.
1,3,113,339
Greatest Common Factor
We found the factors and prime factorization of 333 and 339. The biggest common factor number is the GCF number.
So the greatest common factor 333 and 339 is 3.
Also check out the Least Common Multiple of 333 and 339
(i) The GCF of 333 and 339 is associative
GCF of 333 and 339 = GCF of 339 and 333
1. What is the GCF of 333 and 339?
Answer: GCF of 333 and 339 is 3.
2. What are the Factors of 333?
Answer: Factors of 333 are 1, 3, 9, 37, 111, 333. There are 6 integers that are factors of 333. The greatest factor of 333 is 333.
3. What are the Factors of 339?
Answer: Factors of 339 are 1, 3, 113, 339. There are 4 integers that are factors of 339. The greatest factor of 339 is 339.
4. How to Find the GCF of 333 and 339?
Answer:
Greatest Common Factor of 333 and 339 = 3
Step 1: Find the prime factorization of 333
333 = 3 x 3 x 37
Step 2: Find the prime factorization of 339
339 = 3 x 113
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 333 and 339 is 3