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 309471, 309478 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 309471 and 309478 is 1.
GCF(309471,309478) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 309471
3 | 309471 |
43 | 103157 |
2399 | 2399 |
1 |
Prime factors of 309471 are 3,43,2399. Prime factorization of 309471 in exponential form is:
309471 = 31×431×23991
Prime Factorization of 309478
2 | 309478 |
13 | 154739 |
11903 | 11903 |
1 |
Prime factors of 309478 are 2,13,11903. Prime factorization of 309478 in exponential form is:
309478 = 21×131×119031
∴ So by taking common prime factors GCF of 309471 and 309478 is 1
Factors of 309471
List of positive integer factors of 309471 that divides 309471 without a remainder.
1,3,43,129,2399,7197,103157,309471
Factors of 309478
List of positive integer factors of 309478 that divides 309478 without a remainder.
1,2,13,26,11903,23806,154739,309478
Greatest Common Factor
We found the factors and prime factorization of 309471 and 309478. The biggest common factor number is the GCF number.
So the greatest common factor 309471 and 309478 is 1.
Also check out the Least Common Multiple of 309471 and 309478
(i) The GCF of 309471 and 309478 is associative
GCF of 309471 and 309478 = GCF of 309478 and 309471
1. What is the GCF of 309471 and 309478?
Answer: GCF of 309471 and 309478 is 1.
2. What are the Factors of 309471?
Answer: Factors of 309471 are 1, 3, 43, 129, 2399, 7197, 103157, 309471. There are 8 integers that are factors of 309471. The greatest factor of 309471 is 309471.
3. What are the Factors of 309478?
Answer: Factors of 309478 are 1, 2, 13, 26, 11903, 23806, 154739, 309478. There are 8 integers that are factors of 309478. The greatest factor of 309478 is 309478.
4. How to Find the GCF of 309471 and 309478?
Answer:
Greatest Common Factor of 309471 and 309478 = 1
Step 1: Find the prime factorization of 309471
309471 = 3 x 43 x 2399
Step 2: Find the prime factorization of 309478
309478 = 2 x 13 x 11903
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 309471 and 309478 is 1