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 309428, 309431 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 309428 and 309431 is 1.
GCF(309428,309431) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 309428
2 | 309428 |
2 | 154714 |
7 | 77357 |
43 | 11051 |
257 | 257 |
1 |
Prime factors of 309428 are 2,7,43,257. Prime factorization of 309428 in exponential form is:
309428 = 22×71×431×2571
Prime Factorization of 309431
37 | 309431 |
8363 | 8363 |
1 |
Prime factors of 309431 are 37,8363. Prime factorization of 309431 in exponential form is:
309431 = 371×83631
∴ So by taking common prime factors GCF of 309428 and 309431 is 1
Factors of 309428
List of positive integer factors of 309428 that divides 309428 without a remainder.
1,2,4,7,14,28,43,86,172,257,301,514,602,1028,1204,1799,3598,7196,11051,22102,44204,77357,154714,309428
Factors of 309431
List of positive integer factors of 309431 that divides 309431 without a remainder.
1,37,8363,309431
Greatest Common Factor
We found the factors and prime factorization of 309428 and 309431. The biggest common factor number is the GCF number.
So the greatest common factor 309428 and 309431 is 1.
Also check out the Least Common Multiple of 309428 and 309431
(i) The GCF of 309428 and 309431 is associative
GCF of 309428 and 309431 = GCF of 309431 and 309428
1. What is the GCF of 309428 and 309431?
Answer: GCF of 309428 and 309431 is 1.
2. What are the Factors of 309428?
Answer: Factors of 309428 are 1, 2, 4, 7, 14, 28, 43, 86, 172, 257, 301, 514, 602, 1028, 1204, 1799, 3598, 7196, 11051, 22102, 44204, 77357, 154714, 309428. There are 24 integers that are factors of 309428. The greatest factor of 309428 is 309428.
3. What are the Factors of 309431?
Answer: Factors of 309431 are 1, 37, 8363, 309431. There are 4 integers that are factors of 309431. The greatest factor of 309431 is 309431.
4. How to Find the GCF of 309428 and 309431?
Answer:
Greatest Common Factor of 309428 and 309431 = 1
Step 1: Find the prime factorization of 309428
309428 = 2 x 2 x 7 x 43 x 257
Step 2: Find the prime factorization of 309431
309431 = 37 x 8363
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 309428 and 309431 is 1