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 323, 330 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 323 and 330 is 1.
GCF(323,330) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 323
17 | 323 |
19 | 19 |
1 |
Prime factors of 323 are 17,19. Prime factorization of 323 in exponential form is:
323 = 171×191
Prime Factorization of 330
2 | 330 |
3 | 165 |
5 | 55 |
11 | 11 |
1 |
Prime factors of 330 are 2,3,5,11. Prime factorization of 330 in exponential form is:
330 = 21×31×51×111
∴ So by taking common prime factors GCF of 323 and 330 is 1
Factors of 323
List of positive integer factors of 323 that divides 323 without a remainder.
1,17,19,323
Factors of 330
List of positive integer factors of 330 that divides 330 without a remainder.
1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330
Greatest Common Factor
We found the factors and prime factorization of 323 and 330. The biggest common factor number is the GCF number.
So the greatest common factor 323 and 330 is 1.
Also check out the Least Common Multiple of 323 and 330
(i) The GCF of 323 and 330 is associative
GCF of 323 and 330 = GCF of 330 and 323
1. What is the GCF of 323 and 330?
Answer: GCF of 323 and 330 is 1.
2. What are the Factors of 323?
Answer: Factors of 323 are 1, 17, 19, 323. There are 4 integers that are factors of 323. The greatest factor of 323 is 323.
3. What are the Factors of 330?
Answer: Factors of 330 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330. There are 16 integers that are factors of 330. The greatest factor of 330 is 330.
4. How to Find the GCF of 323 and 330?
Answer:
Greatest Common Factor of 323 and 330 = 1
Step 1: Find the prime factorization of 323
323 = 17 x 19
Step 2: Find the prime factorization of 330
330 = 2 x 3 x 5 x 11
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 323 and 330 is 1