Greatest Common Factor of 309417 and 309423

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 309417, 309423 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 309417 and 309423 is 3.

GCF(309417,309423) = 3

GCF of 309417 and 309423

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

GCF of:
and

Greatest Common Factor of 309417 and 309423

GCF of 309417 and 309423 is 3

Prime Factorization of 309417


3 309417
17 103139
6067 6067
1

Prime factors of 309417 are 3,17,6067. Prime factorization of 309417 in exponential form is:

309417 = 31×171×60671

Prime Factorization of 309423


3 309423
103141 103141
1

Prime factors of 309423 are 3,103141. Prime factorization of 309423 in exponential form is:

309423 = 31×1031411

∴ So by taking common prime factors GCF of 309417 and 309423 is 3

Greatest Common Factor of 309417 and 309423 by matching factors method

Factors of 309417

List of positive integer factors of 309417 that divides 309417 without a remainder.

1,3,17,51,6067,18201,103139,309417

Factors of 309423

List of positive integer factors of 309423 that divides 309423 without a remainder.

1,3,103141,309423

Greatest Common Factor

We found the factors and prime factorization of 309417 and 309423. The biggest common factor number is the GCF number.
So the greatest common factor 309417 and 309423 is 3.

Also check out the Least Common Multiple of 309417 and 309423

Properties of GCF 309417 and 309423

(i) The GCF of 309417 and 309423 is associative

GCF of 309417 and 309423 = GCF of 309423 and 309417

Related Greatest Common Factor of 309417

Related Greatest Common Factor of 309423

Frequently Asked Questions on GCF of 309417 and 309423

1. What is the GCF of 309417 and 309423?

Answer: GCF of 309417 and 309423 is 3.

2. What are the Factors of 309417?

Answer: Factors of 309417 are 1, 3, 17, 51, 6067, 18201, 103139, 309417. There are 8 integers that are factors of 309417. The greatest factor of 309417 is 309417.

3. What are the Factors of 309423?

Answer: Factors of 309423 are 1, 3, 103141, 309423. There are 4 integers that are factors of 309423. The greatest factor of 309423 is 309423.

4. How to Find the GCF of 309417 and 309423?

Answer:

Greatest Common Factor of 309417 and 309423 = 3

Step 1: Find the prime factorization of 309417

309417 = 3 x 17 x 6067

Step 2: Find the prime factorization of 309423

309423 = 3 x 103141

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 309417 and 309423 is 3