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 313405, 313407 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 313405 and 313407 is 1.
GCF(313405,313407) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 313405
5 | 313405 |
19 | 62681 |
3299 | 3299 |
1 |
Prime factors of 313405 are 5,19,3299. Prime factorization of 313405 in exponential form is:
313405 = 51×191×32991
Prime Factorization of 313407
3 | 313407 |
3 | 104469 |
97 | 34823 |
359 | 359 |
1 |
Prime factors of 313407 are 3,97,359. Prime factorization of 313407 in exponential form is:
313407 = 32×971×3591
∴ So by taking common prime factors GCF of 313405 and 313407 is 1
Factors of 313405
List of positive integer factors of 313405 that divides 313405 without a remainder.
1,5,19,95,3299,16495,62681,313405
Factors of 313407
List of positive integer factors of 313407 that divides 313407 without a remainder.
1,3,9,97,291,359,873,1077,3231,34823,104469,313407
Greatest Common Factor
We found the factors and prime factorization of 313405 and 313407. The biggest common factor number is the GCF number.
So the greatest common factor 313405 and 313407 is 1.
Also check out the Least Common Multiple of 313405 and 313407
(i) The GCF of 313405 and 313407 is associative
GCF of 313405 and 313407 = GCF of 313407 and 313405
1. What is the GCF of 313405 and 313407?
Answer: GCF of 313405 and 313407 is 1.
2. What are the Factors of 313405?
Answer: Factors of 313405 are 1, 5, 19, 95, 3299, 16495, 62681, 313405. There are 8 integers that are factors of 313405. The greatest factor of 313405 is 313405.
3. What are the Factors of 313407?
Answer: Factors of 313407 are 1, 3, 9, 97, 291, 359, 873, 1077, 3231, 34823, 104469, 313407. There are 12 integers that are factors of 313407. The greatest factor of 313407 is 313407.
4. How to Find the GCF of 313405 and 313407?
Answer:
Greatest Common Factor of 313405 and 313407 = 1
Step 1: Find the prime factorization of 313405
313405 = 5 x 19 x 3299
Step 2: Find the prime factorization of 313407
313407 = 3 x 3 x 97 x 359
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 313405 and 313407 is 1