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 310403, 310409 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 310403 and 310409 is 1.
GCF(310403,310409) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 310403
17 | 310403 |
19 | 18259 |
31 | 961 |
31 | 31 |
1 |
Prime factors of 310403 are 17,19,31. Prime factorization of 310403 in exponential form is:
310403 = 171×191×312
Prime Factorization of 310409
11 | 310409 |
28219 | 28219 |
1 |
Prime factors of 310409 are 11,28219. Prime factorization of 310409 in exponential form is:
310409 = 111×282191
∴ So by taking common prime factors GCF of 310403 and 310409 is 1
Factors of 310403
List of positive integer factors of 310403 that divides 310403 without a remainder.
1,17,19,31,323,527,589,961,10013,16337,18259,310403
Factors of 310409
List of positive integer factors of 310409 that divides 310409 without a remainder.
1,11,28219,310409
Greatest Common Factor
We found the factors and prime factorization of 310403 and 310409. The biggest common factor number is the GCF number.
So the greatest common factor 310403 and 310409 is 1.
Also check out the Least Common Multiple of 310403 and 310409
(i) The GCF of 310403 and 310409 is associative
GCF of 310403 and 310409 = GCF of 310409 and 310403
1. What is the GCF of 310403 and 310409?
Answer: GCF of 310403 and 310409 is 1.
2. What are the Factors of 310403?
Answer: Factors of 310403 are 1, 17, 19, 31, 323, 527, 589, 961, 10013, 16337, 18259, 310403. There are 12 integers that are factors of 310403. The greatest factor of 310403 is 310403.
3. What are the Factors of 310409?
Answer: Factors of 310409 are 1, 11, 28219, 310409. There are 4 integers that are factors of 310409. The greatest factor of 310409 is 310409.
4. How to Find the GCF of 310403 and 310409?
Answer:
Greatest Common Factor of 310403 and 310409 = 1
Step 1: Find the prime factorization of 310403
310403 = 17 x 19 x 31 x 31
Step 2: Find the prime factorization of 310409
310409 = 11 x 28219
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 310403 and 310409 is 1