Greatest Common Factor of 20391 and 20394

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 20391, 20394 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 20391 and 20394 is 3.

GCF(20391,20394) = 3

GCF of 20391 and 20394

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

GCF of:
and

Greatest Common Factor of 20391 and 20394

GCF of 20391 and 20394 is 3

Prime Factorization of 20391


3 20391
7 6797
971 971
1

Prime factors of 20391 are 3,7,971. Prime factorization of 20391 in exponential form is:

20391 = 31×71×9711

Prime Factorization of 20394


2 20394
3 10197
3 3399
11 1133
103 103
1

Prime factors of 20394 are 2,3,11,103. Prime factorization of 20394 in exponential form is:

20394 = 21×32×111×1031

∴ So by taking common prime factors GCF of 20391 and 20394 is 3

Greatest Common Factor of 20391 and 20394 by matching factors method

Factors of 20391

List of positive integer factors of 20391 that divides 20391 without a remainder.

1,3,7,21,971,2913,6797,20391

Factors of 20394

List of positive integer factors of 20394 that divides 20394 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,103,198,206,309,618,927,1133,1854,2266,3399,6798,10197,20394

Greatest Common Factor

We found the factors and prime factorization of 20391 and 20394. The biggest common factor number is the GCF number.
So the greatest common factor 20391 and 20394 is 3.

Also check out the Least Common Multiple of 20391 and 20394

Properties of GCF 20391 and 20394

(i) The GCF of 20391 and 20394 is associative

GCF of 20391 and 20394 = GCF of 20394 and 20391

Related Greatest Common Factor of 20391

Related Greatest Common Factor of 20394

Frequently Asked Questions on GCF of 20391 and 20394

1. What is the GCF of 20391 and 20394?

Answer: GCF of 20391 and 20394 is 3.

2. What are the Factors of 20391?

Answer: Factors of 20391 are 1, 3, 7, 21, 971, 2913, 6797, 20391. There are 8 integers that are factors of 20391. The greatest factor of 20391 is 20391.

3. What are the Factors of 20394?

Answer: Factors of 20394 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 103, 198, 206, 309, 618, 927, 1133, 1854, 2266, 3399, 6798, 10197, 20394. There are 24 integers that are factors of 20394. The greatest factor of 20394 is 20394.

4. How to Find the GCF of 20391 and 20394?

Answer:

Greatest Common Factor of 20391 and 20394 = 3

Step 1: Find the prime factorization of 20391

20391 = 3 x 7 x 971

Step 2: Find the prime factorization of 20394

20394 = 2 x 3 x 3 x 11 x 103

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 20391 and 20394 is 3