Greatest Common Factor of 309468 and 309471

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 309468, 309471 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 309468 and 309471 is 3.

GCF(309468,309471) = 3

GCF of 309468 and 309471

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

GCF of:
and

Greatest Common Factor of 309468 and 309471

GCF of 309468 and 309471 is 3

Prime Factorization of 309468


2 309468
2 154734
3 77367
17 25789
37 1517
41 41
1

Prime factors of 309468 are 2,3,17,37,41. Prime factorization of 309468 in exponential form is:

309468 = 22×31×171×371×411

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

∴ So by taking common prime factors GCF of 309468 and 309471 is 3

Greatest Common Factor of 309468 and 309471 by matching factors method

Factors of 309468

List of positive integer factors of 309468 that divides 309468 without a remainder.

1,2,3,4,6,12,17,34,37,41,51,68,74,82,102,111,123,148,164,204,222,246,444,492,629,697,1258,1394,1517,1887,2091,2516,2788,3034,3774,4182,4551,6068,7548,8364,9102,18204,25789,51578,77367,103156,154734,309468

Factors of 309471

List of positive integer factors of 309471 that divides 309471 without a remainder.

1,3,43,129,2399,7197,103157,309471

Greatest Common Factor

We found the factors and prime factorization of 309468 and 309471. The biggest common factor number is the GCF number.
So the greatest common factor 309468 and 309471 is 3.

Also check out the Least Common Multiple of 309468 and 309471

Properties of GCF 309468 and 309471

(i) The GCF of 309468 and 309471 is associative

GCF of 309468 and 309471 = GCF of 309471 and 309468

Related Greatest Common Factor of 309468

Related Greatest Common Factor of 309471

Frequently Asked Questions on GCF of 309468 and 309471

1. What is the GCF of 309468 and 309471?

Answer: GCF of 309468 and 309471 is 3.

2. What are the Factors of 309468?

Answer: Factors of 309468 are 1, 2, 3, 4, 6, 12, 17, 34, 37, 41, 51, 68, 74, 82, 102, 111, 123, 148, 164, 204, 222, 246, 444, 492, 629, 697, 1258, 1394, 1517, 1887, 2091, 2516, 2788, 3034, 3774, 4182, 4551, 6068, 7548, 8364, 9102, 18204, 25789, 51578, 77367, 103156, 154734, 309468. There are 48 integers that are factors of 309468. The greatest factor of 309468 is 309468.

3. 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.

4. How to Find the GCF of 309468 and 309471?

Answer:

Greatest Common Factor of 309468 and 309471 = 3

Step 1: Find the prime factorization of 309468

309468 = 2 x 2 x 3 x 17 x 37 x 41

Step 2: Find the prime factorization of 309471

309471 = 3 x 43 x 2399

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 309468 and 309471 is 3