Greatest Common Factor of 309456 and 309462

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 309456, 309462 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 309456 and 309462 is 6.

GCF(309456,309462) = 6

GCF of 309456 and 309462

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

GCF of:
and

Greatest Common Factor of 309456 and 309462

GCF of 309456 and 309462 is 6

Prime Factorization of 309456


2 309456
2 154728
2 77364
2 38682
3 19341
3 6447
7 2149
307 307
1

Prime factors of 309456 are 2,3,7,307. Prime factorization of 309456 in exponential form is:

309456 = 24×32×71×3071

Prime Factorization of 309462


2 309462
3 154731
51577 51577
1

Prime factors of 309462 are 2,3,51577. Prime factorization of 309462 in exponential form is:

309462 = 21×31×515771

∴ So by taking common prime factors GCF of 309456 and 309462 is 6

Greatest Common Factor of 309456 and 309462 by matching factors method

Factors of 309456

List of positive integer factors of 309456 that divides 309456 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,36,42,48,56,63,72,84,112,126,144,168,252,307,336,504,614,921,1008,1228,1842,2149,2456,2763,3684,4298,4912,5526,6447,7368,8596,11052,12894,14736,17192,19341,22104,25788,34384,38682,44208,51576,77364,103152,154728,309456

Factors of 309462

List of positive integer factors of 309462 that divides 309462 without a remainder.

1,2,3,6,51577,103154,154731,309462

Greatest Common Factor

We found the factors and prime factorization of 309456 and 309462. The biggest common factor number is the GCF number.
So the greatest common factor 309456 and 309462 is 6.

Also check out the Least Common Multiple of 309456 and 309462

Properties of GCF 309456 and 309462

(i) The GCF of 309456 and 309462 is associative

GCF of 309456 and 309462 = GCF of 309462 and 309456

Related Greatest Common Factor of 309456

Related Greatest Common Factor of 309462

Frequently Asked Questions on GCF of 309456 and 309462

1. What is the GCF of 309456 and 309462?

Answer: GCF of 309456 and 309462 is 6.

2. What are the Factors of 309456?

Answer: Factors of 309456 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 307, 336, 504, 614, 921, 1008, 1228, 1842, 2149, 2456, 2763, 3684, 4298, 4912, 5526, 6447, 7368, 8596, 11052, 12894, 14736, 17192, 19341, 22104, 25788, 34384, 38682, 44208, 51576, 77364, 103152, 154728, 309456. There are 60 integers that are factors of 309456. The greatest factor of 309456 is 309456.

3. What are the Factors of 309462?

Answer: Factors of 309462 are 1, 2, 3, 6, 51577, 103154, 154731, 309462. There are 8 integers that are factors of 309462. The greatest factor of 309462 is 309462.

4. How to Find the GCF of 309456 and 309462?

Answer:

Greatest Common Factor of 309456 and 309462 = 6

Step 1: Find the prime factorization of 309456

309456 = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 307

Step 2: Find the prime factorization of 309462

309462 = 2 x 3 x 51577

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 309456 and 309462 is 6