Greatest Common Factor of 306423 and 306429

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 306423, 306429 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 306423 and 306429 is 3.

GCF(306423,306429) = 3

GCF of 306423 and 306429

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

GCF of:
and

Greatest Common Factor of 306423 and 306429

GCF of 306423 and 306429 is 3

Prime Factorization of 306423


3 306423
3 102141
3 34047
3 11349
3 3783
13 1261
97 97
1

Prime factors of 306423 are 3,13,97. Prime factorization of 306423 in exponential form is:

306423 = 35×131×971

Prime Factorization of 306429


3 306429
23 102143
4441 4441
1

Prime factors of 306429 are 3,23,4441. Prime factorization of 306429 in exponential form is:

306429 = 31×231×44411

∴ So by taking common prime factors GCF of 306423 and 306429 is 3

Greatest Common Factor of 306423 and 306429 by matching factors method

Factors of 306423

List of positive integer factors of 306423 that divides 306423 without a remainder.

1,3,9,13,27,39,81,97,117,243,291,351,873,1053,1261,2619,3159,3783,7857,11349,23571,34047,102141,306423

Factors of 306429

List of positive integer factors of 306429 that divides 306429 without a remainder.

1,3,23,69,4441,13323,102143,306429

Greatest Common Factor

We found the factors and prime factorization of 306423 and 306429. The biggest common factor number is the GCF number.
So the greatest common factor 306423 and 306429 is 3.

Also check out the Least Common Multiple of 306423 and 306429

Properties of GCF 306423 and 306429

(i) The GCF of 306423 and 306429 is associative

GCF of 306423 and 306429 = GCF of 306429 and 306423

Related Greatest Common Factor of 306423

Related Greatest Common Factor of 306429

Frequently Asked Questions on GCF of 306423 and 306429

1. What is the GCF of 306423 and 306429?

Answer: GCF of 306423 and 306429 is 3.

2. What are the Factors of 306423?

Answer: Factors of 306423 are 1, 3, 9, 13, 27, 39, 81, 97, 117, 243, 291, 351, 873, 1053, 1261, 2619, 3159, 3783, 7857, 11349, 23571, 34047, 102141, 306423. There are 24 integers that are factors of 306423. The greatest factor of 306423 is 306423.

3. What are the Factors of 306429?

Answer: Factors of 306429 are 1, 3, 23, 69, 4441, 13323, 102143, 306429. There are 8 integers that are factors of 306429. The greatest factor of 306429 is 306429.

4. How to Find the GCF of 306423 and 306429?

Answer:

Greatest Common Factor of 306423 and 306429 = 3

Step 1: Find the prime factorization of 306423

306423 = 3 x 3 x 3 x 3 x 3 x 13 x 97

Step 2: Find the prime factorization of 306429

306429 = 3 x 23 x 4441

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 306423 and 306429 is 3