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 313423, 313430 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 313423 and 313430 is 1.
GCF(313423,313430) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 313423
11 | 313423 |
28493 | 28493 |
1 |
Prime factors of 313423 are 11,28493. Prime factorization of 313423 in exponential form is:
313423 = 111×284931
Prime Factorization of 313430
2 | 313430 |
5 | 156715 |
13 | 31343 |
2411 | 2411 |
1 |
Prime factors of 313430 are 2,5,13,2411. Prime factorization of 313430 in exponential form is:
313430 = 21×51×131×24111
∴ So by taking common prime factors GCF of 313423 and 313430 is 1
Factors of 313423
List of positive integer factors of 313423 that divides 313423 without a remainder.
1,11,28493,313423
Factors of 313430
List of positive integer factors of 313430 that divides 313430 without a remainder.
1,2,5,10,13,26,65,130,2411,4822,12055,24110,31343,62686,156715,313430
Greatest Common Factor
We found the factors and prime factorization of 313423 and 313430. The biggest common factor number is the GCF number.
So the greatest common factor 313423 and 313430 is 1.
Also check out the Least Common Multiple of 313423 and 313430
(i) The GCF of 313423 and 313430 is associative
GCF of 313423 and 313430 = GCF of 313430 and 313423
1. What is the GCF of 313423 and 313430?
Answer: GCF of 313423 and 313430 is 1.
2. What are the Factors of 313423?
Answer: Factors of 313423 are 1, 11, 28493, 313423. There are 4 integers that are factors of 313423. The greatest factor of 313423 is 313423.
3. What are the Factors of 313430?
Answer: Factors of 313430 are 1, 2, 5, 10, 13, 26, 65, 130, 2411, 4822, 12055, 24110, 31343, 62686, 156715, 313430. There are 16 integers that are factors of 313430. The greatest factor of 313430 is 313430.
4. How to Find the GCF of 313423 and 313430?
Answer:
Greatest Common Factor of 313423 and 313430 = 1
Step 1: Find the prime factorization of 313423
313423 = 11 x 28493
Step 2: Find the prime factorization of 313430
313430 = 2 x 5 x 13 x 2411
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 313423 and 313430 is 1