Greatest Common Factor of 309428 and 309431

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

GCF of 309428 and 309431

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 309428 and 309431

GCF of 309428 and 309431 is 1

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

Greatest Common Factor of 309428 and 309431 by matching factors method

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

Properties of GCF 309428 and 309431

(i) The GCF of 309428 and 309431 is associative

GCF of 309428 and 309431 = GCF of 309431 and 309428

Frequently Asked Questions on GCF of 309428 and 309431

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