Greatest Common Factor of 309404 and 309408

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 309404, 309408 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 309404 and 309408 is 4.

GCF(309404,309408) = 4

GCF of 309404 and 309408

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

GCF of:
and

Greatest Common Factor of 309404 and 309408

GCF of 309404 and 309408 is 4

Prime Factorization of 309404


2 309404
2 154702
77351 77351
1

Prime factors of 309404 are 2,77351. Prime factorization of 309404 in exponential form is:

309404 = 22×773511

Prime Factorization of 309408


2 309408
2 154704
2 77352
2 38676
2 19338
3 9669
11 3223
293 293
1

Prime factors of 309408 are 2,3,11,293. Prime factorization of 309408 in exponential form is:

309408 = 25×31×111×2931

∴ So by taking common prime factors GCF of 309404 and 309408 is 4

Greatest Common Factor of 309404 and 309408 by matching factors method

Factors of 309404

List of positive integer factors of 309404 that divides 309404 without a remainder.

1,2,4,77351,154702,309404

Factors of 309408

List of positive integer factors of 309408 that divides 309408 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,66,88,96,132,176,264,293,352,528,586,879,1056,1172,1758,2344,3223,3516,4688,6446,7032,9376,9669,12892,14064,19338,25784,28128,38676,51568,77352,103136,154704,309408

Greatest Common Factor

We found the factors and prime factorization of 309404 and 309408. The biggest common factor number is the GCF number.
So the greatest common factor 309404 and 309408 is 4.

Also check out the Least Common Multiple of 309404 and 309408

Properties of GCF 309404 and 309408

(i) The GCF of 309404 and 309408 is associative

GCF of 309404 and 309408 = GCF of 309408 and 309404

Related Greatest Common Factor of 309404

Related Greatest Common Factor of 309408

Frequently Asked Questions on GCF of 309404 and 309408

1. What is the GCF of 309404 and 309408?

Answer: GCF of 309404 and 309408 is 4.

2. What are the Factors of 309404?

Answer: Factors of 309404 are 1, 2, 4, 77351, 154702, 309404. There are 6 integers that are factors of 309404. The greatest factor of 309404 is 309404.

3. What are the Factors of 309408?

Answer: Factors of 309408 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 132, 176, 264, 293, 352, 528, 586, 879, 1056, 1172, 1758, 2344, 3223, 3516, 4688, 6446, 7032, 9376, 9669, 12892, 14064, 19338, 25784, 28128, 38676, 51568, 77352, 103136, 154704, 309408. There are 48 integers that are factors of 309408. The greatest factor of 309408 is 309408.

4. How to Find the GCF of 309404 and 309408?

Answer:

Greatest Common Factor of 309404 and 309408 = 4

Step 1: Find the prime factorization of 309404

309404 = 2 x 2 x 77351

Step 2: Find the prime factorization of 309408

309408 = 2 x 2 x 2 x 2 x 2 x 3 x 11 x 293

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 309404 and 309408 is 4