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 1309, 1313 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1309 and 1313 is 1.
GCF(1309,1313) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1309
7 | 1309 |
11 | 187 |
17 | 17 |
1 |
Prime factors of 1309 are 7,11,17. Prime factorization of 1309 in exponential form is:
1309 = 71×111×171
Prime Factorization of 1313
13 | 1313 |
101 | 101 |
1 |
Prime factors of 1313 are 13,101. Prime factorization of 1313 in exponential form is:
1313 = 131×1011
∴ So by taking common prime factors GCF of 1309 and 1313 is 1
Factors of 1309
List of positive integer factors of 1309 that divides 1309 without a remainder.
1,7,11,17,77,119,187,1309
Factors of 1313
List of positive integer factors of 1313 that divides 1313 without a remainder.
1,13,101,1313
Greatest Common Factor
We found the factors and prime factorization of 1309 and 1313. The biggest common factor number is the GCF number.
So the greatest common factor 1309 and 1313 is 1.
Also check out the Least Common Multiple of 1309 and 1313
(i) The GCF of 1309 and 1313 is associative
GCF of 1309 and 1313 = GCF of 1313 and 1309
1. What is the GCF of 1309 and 1313?
Answer: GCF of 1309 and 1313 is 1.
2. What are the Factors of 1309?
Answer: Factors of 1309 are 1, 7, 11, 17, 77, 119, 187, 1309. There are 8 integers that are factors of 1309. The greatest factor of 1309 is 1309.
3. What are the Factors of 1313?
Answer: Factors of 1313 are 1, 13, 101, 1313. There are 4 integers that are factors of 1313. The greatest factor of 1313 is 1313.
4. How to Find the GCF of 1309 and 1313?
Answer:
Greatest Common Factor of 1309 and 1313 = 1
Step 1: Find the prime factorization of 1309
1309 = 7 x 11 x 17
Step 2: Find the prime factorization of 1313
1313 = 13 x 101
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 1309 and 1313 is 1