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 309417, 309421 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 309417 and 309421 is 1.
GCF(309417,309421) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 309417
3 | 309417 |
17 | 103139 |
6067 | 6067 |
1 |
Prime factors of 309417 are 3,17,6067. Prime factorization of 309417 in exponential form is:
309417 = 31×171×60671
Prime Factorization of 309421
7 | 309421 |
44203 | 44203 |
1 |
Prime factors of 309421 are 7,44203. Prime factorization of 309421 in exponential form is:
309421 = 71×442031
∴ So by taking common prime factors GCF of 309417 and 309421 is 1
Factors of 309417
List of positive integer factors of 309417 that divides 309417 without a remainder.
1,3,17,51,6067,18201,103139,309417
Factors of 309421
List of positive integer factors of 309421 that divides 309421 without a remainder.
1,7,44203,309421
Greatest Common Factor
We found the factors and prime factorization of 309417 and 309421. The biggest common factor number is the GCF number.
So the greatest common factor 309417 and 309421 is 1.
Also check out the Least Common Multiple of 309417 and 309421
(i) The GCF of 309417 and 309421 is associative
GCF of 309417 and 309421 = GCF of 309421 and 309417
1. What is the GCF of 309417 and 309421?
Answer: GCF of 309417 and 309421 is 1.
2. What are the Factors of 309417?
Answer: Factors of 309417 are 1, 3, 17, 51, 6067, 18201, 103139, 309417. There are 8 integers that are factors of 309417. The greatest factor of 309417 is 309417.
3. What are the Factors of 309421?
Answer: Factors of 309421 are 1, 7, 44203, 309421. There are 4 integers that are factors of 309421. The greatest factor of 309421 is 309421.
4. How to Find the GCF of 309417 and 309421?
Answer:
Greatest Common Factor of 309417 and 309421 = 1
Step 1: Find the prime factorization of 309417
309417 = 3 x 17 x 6067
Step 2: Find the prime factorization of 309421
309421 = 7 x 44203
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 309417 and 309421 is 1