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 315, 323 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 315 and 323 is 1.
GCF(315,323) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 315
3 | 315 |
3 | 105 |
5 | 35 |
7 | 7 |
1 |
Prime factors of 315 are 3,5,7. Prime factorization of 315 in exponential form is:
315 = 32×51×71
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
∴ So by taking common prime factors GCF of 315 and 323 is 1
Factors of 315
List of positive integer factors of 315 that divides 315 without a remainder.
1,3,5,7,9,15,21,35,45,63,105,315
Factors of 323
List of positive integer factors of 323 that divides 323 without a remainder.
1,17,19,323
Greatest Common Factor
We found the factors and prime factorization of 315 and 323. The biggest common factor number is the GCF number.
So the greatest common factor 315 and 323 is 1.
Also check out the Least Common Multiple of 315 and 323
(i) The GCF of 315 and 323 is associative
GCF of 315 and 323 = GCF of 323 and 315
1. What is the GCF of 315 and 323?
Answer: GCF of 315 and 323 is 1.
2. What are the Factors of 315?
Answer: Factors of 315 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315. There are 12 integers that are factors of 315. The greatest factor of 315 is 315.
3. 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.
4. How to Find the GCF of 315 and 323?
Answer:
Greatest Common Factor of 315 and 323 = 1
Step 1: Find the prime factorization of 315
315 = 3 x 3 x 5 x 7
Step 2: Find the prime factorization of 323
323 = 17 x 19
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 315 and 323 is 1