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 1323, 1327 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1323 and 1327 is 1.
GCF(1323,1327) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1323
3 | 1323 |
3 | 441 |
3 | 147 |
7 | 49 |
7 | 7 |
1 |
Prime factors of 1323 are 3,7. Prime factorization of 1323 in exponential form is:
1323 = 33×72
Prime Factorization of 1327
1327 | 1327 |
1 |
Prime factors of 1327 are 1327. Prime factorization of 1327 in exponential form is:
1327 = 13271
∴ So by taking common prime factors GCF of 1323 and 1327 is 1
Factors of 1323
List of positive integer factors of 1323 that divides 1323 without a remainder.
1,3,7,9,21,27,49,63,147,189,441,1323
Factors of 1327
List of positive integer factors of 1327 that divides 1327 without a remainder.
1,1327
Greatest Common Factor
We found the factors and prime factorization of 1323 and 1327. The biggest common factor number is the GCF number.
So the greatest common factor 1323 and 1327 is 1.
Also check out the Least Common Multiple of 1323 and 1327
(i) The GCF of 1323 and 1327 is associative
GCF of 1323 and 1327 = GCF of 1327 and 1323
1. What is the GCF of 1323 and 1327?
Answer: GCF of 1323 and 1327 is 1.
2. What are the Factors of 1323?
Answer: Factors of 1323 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 441, 1323. There are 12 integers that are factors of 1323. The greatest factor of 1323 is 1323.
3. What are the Factors of 1327?
Answer: Factors of 1327 are 1, 1327. There are 2 integers that are factors of 1327. The greatest factor of 1327 is 1327.
4. How to Find the GCF of 1323 and 1327?
Answer:
Greatest Common Factor of 1323 and 1327 = 1
Step 1: Find the prime factorization of 1323
1323 = 3 x 3 x 3 x 7 x 7
Step 2: Find the prime factorization of 1327
1327 = 1327
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 1323 and 1327 is 1