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 311405, 311413 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 311405 and 311413 is 1.
GCF(311405,311413) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 311405
5 | 311405 |
61 | 62281 |
1021 | 1021 |
1 |
Prime factors of 311405 are 5,61,1021. Prime factorization of 311405 in exponential form is:
311405 = 51×611×10211
Prime Factorization of 311413
109 | 311413 |
2857 | 2857 |
1 |
Prime factors of 311413 are 109,2857. Prime factorization of 311413 in exponential form is:
311413 = 1091×28571
∴ So by taking common prime factors GCF of 311405 and 311413 is 1
Factors of 311405
List of positive integer factors of 311405 that divides 311405 without a remainder.
1,5,61,305,1021,5105,62281,311405
Factors of 311413
List of positive integer factors of 311413 that divides 311413 without a remainder.
1,109,2857,311413
Greatest Common Factor
We found the factors and prime factorization of 311405 and 311413. The biggest common factor number is the GCF number.
So the greatest common factor 311405 and 311413 is 1.
Also check out the Least Common Multiple of 311405 and 311413
(i) The GCF of 311405 and 311413 is associative
GCF of 311405 and 311413 = GCF of 311413 and 311405
1. What is the GCF of 311405 and 311413?
Answer: GCF of 311405 and 311413 is 1.
2. What are the Factors of 311405?
Answer: Factors of 311405 are 1, 5, 61, 305, 1021, 5105, 62281, 311405. There are 8 integers that are factors of 311405. The greatest factor of 311405 is 311405.
3. What are the Factors of 311413?
Answer: Factors of 311413 are 1, 109, 2857, 311413. There are 4 integers that are factors of 311413. The greatest factor of 311413 is 311413.
4. How to Find the GCF of 311405 and 311413?
Answer:
Greatest Common Factor of 311405 and 311413 = 1
Step 1: Find the prime factorization of 311405
311405 = 5 x 61 x 1021
Step 2: Find the prime factorization of 311413
311413 = 109 x 2857
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 311405 and 311413 is 1