Greatest Common Factor of 20398 and 20404

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 20398, 20404 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 20398 and 20404 is 2.

GCF(20398,20404) = 2

GCF of 20398 and 20404

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

GCF of:
and

Greatest Common Factor of 20398 and 20404

GCF of 20398 and 20404 is 2

Prime Factorization of 20398


2 20398
7 10199
31 1457
47 47
1

Prime factors of 20398 are 2,7,31,47. Prime factorization of 20398 in exponential form is:

20398 = 21×71×311×471

Prime Factorization of 20404


2 20404
2 10202
5101 5101
1

Prime factors of 20404 are 2,5101. Prime factorization of 20404 in exponential form is:

20404 = 22×51011

∴ So by taking common prime factors GCF of 20398 and 20404 is 2

Greatest Common Factor of 20398 and 20404 by matching factors method

Factors of 20398

List of positive integer factors of 20398 that divides 20398 without a remainder.

1,2,7,14,31,47,62,94,217,329,434,658,1457,2914,10199,20398

Factors of 20404

List of positive integer factors of 20404 that divides 20404 without a remainder.

1,2,4,5101,10202,20404

Greatest Common Factor

We found the factors and prime factorization of 20398 and 20404. The biggest common factor number is the GCF number.
So the greatest common factor 20398 and 20404 is 2.

Also check out the Least Common Multiple of 20398 and 20404

Properties of GCF 20398 and 20404

(i) The GCF of 20398 and 20404 is associative

GCF of 20398 and 20404 = GCF of 20404 and 20398

Related Greatest Common Factor of 20398

Related Greatest Common Factor of 20404

Frequently Asked Questions on GCF of 20398 and 20404

1. What is the GCF of 20398 and 20404?

Answer: GCF of 20398 and 20404 is 2.

2. What are the Factors of 20398?

Answer: Factors of 20398 are 1, 2, 7, 14, 31, 47, 62, 94, 217, 329, 434, 658, 1457, 2914, 10199, 20398. There are 16 integers that are factors of 20398. The greatest factor of 20398 is 20398.

3. What are the Factors of 20404?

Answer: Factors of 20404 are 1, 2, 4, 5101, 10202, 20404. There are 6 integers that are factors of 20404. The greatest factor of 20404 is 20404.

4. How to Find the GCF of 20398 and 20404?

Answer:

Greatest Common Factor of 20398 and 20404 = 2

Step 1: Find the prime factorization of 20398

20398 = 2 x 7 x 31 x 47

Step 2: Find the prime factorization of 20404

20404 = 2 x 2 x 5101

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

GCF = 2

Step 4: Therefore, the greatest common factor of 20398 and 20404 is 2