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 1325, 1329 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1325 and 1329 is 1.
GCF(1325,1329) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1325
5 | 1325 |
5 | 265 |
53 | 53 |
1 |
Prime factors of 1325 are 5,53. Prime factorization of 1325 in exponential form is:
1325 = 52×531
Prime Factorization of 1329
3 | 1329 |
443 | 443 |
1 |
Prime factors of 1329 are 3,443. Prime factorization of 1329 in exponential form is:
1329 = 31×4431
∴ So by taking common prime factors GCF of 1325 and 1329 is 1
Factors of 1325
List of positive integer factors of 1325 that divides 1325 without a remainder.
1,5,25,53,265,1325
Factors of 1329
List of positive integer factors of 1329 that divides 1329 without a remainder.
1,3,443,1329
Greatest Common Factor
We found the factors and prime factorization of 1325 and 1329. The biggest common factor number is the GCF number.
So the greatest common factor 1325 and 1329 is 1.
Also check out the Least Common Multiple of 1325 and 1329
(i) The GCF of 1325 and 1329 is associative
GCF of 1325 and 1329 = GCF of 1329 and 1325
1. What is the GCF of 1325 and 1329?
Answer: GCF of 1325 and 1329 is 1.
2. What are the Factors of 1325?
Answer: Factors of 1325 are 1, 5, 25, 53, 265, 1325. There are 6 integers that are factors of 1325. The greatest factor of 1325 is 1325.
3. What are the Factors of 1329?
Answer: Factors of 1329 are 1, 3, 443, 1329. There are 4 integers that are factors of 1329. The greatest factor of 1329 is 1329.
4. How to Find the GCF of 1325 and 1329?
Answer:
Greatest Common Factor of 1325 and 1329 = 1
Step 1: Find the prime factorization of 1325
1325 = 5 x 5 x 53
Step 2: Find the prime factorization of 1329
1329 = 3 x 443
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 1325 and 1329 is 1