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 1331, 1339 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1331 and 1339 is 1.
GCF(1331,1339) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1331
11 | 1331 |
11 | 121 |
11 | 11 |
1 |
Prime factors of 1331 are 11. Prime factorization of 1331 in exponential form is:
1331 = 113
Prime Factorization of 1339
13 | 1339 |
103 | 103 |
1 |
Prime factors of 1339 are 13.Prime factorization of 1339 in exponential form is:
1339 = 131×1031
∴ So by taking common prime factors GCF of 1331 and 1339 is 1
Factors of 1331
List of positive integer factors of 1331 that divides 1331 without a remainder.
1,11,121,1331
Factors of 1339
List of positive integer factors of 1339 that divides 1339 without a remainder.
1,13,103,1339
Greatest Common Factor
We found the factors and prime factorization of 1331 and 1339. The biggest common factor number is the GCF number.
So the greatest common factor 1331 and 1339 is 1.
Also check out the Least Common Multiple of 1331 and 1339
(i) The GCF of 1331 and 1339 is associative
GCF of 1331 and 1339 = GCF of 1339 and 1331
1. What is the GCF of 1331 and 1339?
Answer: GCF of 1331 and 1339 is 1.
2. What are the Factors of 1331?
Answer: Factors of 1331 are 1, 11, 121, 1331. There are 4 integers that are factors of 1331. The greatest factor of 1331 is 1331.
3. What are the Factors of 1339?
Answer: Factors of 1339 are 1, 13, 103, 1339. There are 4 integers that are factors of 1339. The greatest factor of 1339 is 1339.
4. How to Find the GCF of 1331 and 1339?
Answer:
Greatest Common Factor of 1331 and 1339 = 1
Step 1: Find the prime factorization of 1331
1331 = 11 x 11 x 11
Step 2: Find the prime factorization of 1339
1339 = 13 x 103
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 1331 and 1339 is 1