Greatest Common Factor of 20398 and 20405

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, 20405 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 20398 and 20405 is 7.

GCF(20398,20405) = 7

GCF of 20398 and 20405

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

GCF of:
and

Greatest Common Factor of 20398 and 20405

GCF of 20398 and 20405 is 7

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 20405


5 20405
7 4081
11 583
53 53
1

Prime factors of 20405 are 5,7,11,53. Prime factorization of 20405 in exponential form is:

20405 = 51×71×111×531

∴ So by taking common prime factors GCF of 20398 and 20405 is 7

Greatest Common Factor of 20398 and 20405 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 20405

List of positive integer factors of 20405 that divides 20405 without a remainder.

1,5,7,11,35,53,55,77,265,371,385,583,1855,2915,4081,20405

Greatest Common Factor

We found the factors and prime factorization of 20398 and 20405. The biggest common factor number is the GCF number.
So the greatest common factor 20398 and 20405 is 7.

Also check out the Least Common Multiple of 20398 and 20405

Properties of GCF 20398 and 20405

(i) The GCF of 20398 and 20405 is associative

GCF of 20398 and 20405 = GCF of 20405 and 20398

Related Greatest Common Factor of 20398

Related Greatest Common Factor of 20405

Frequently Asked Questions on GCF of 20398 and 20405

1. What is the GCF of 20398 and 20405?

Answer: GCF of 20398 and 20405 is 7.

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 20405?

Answer: Factors of 20405 are 1, 5, 7, 11, 35, 53, 55, 77, 265, 371, 385, 583, 1855, 2915, 4081, 20405. There are 16 integers that are factors of 20405. The greatest factor of 20405 is 20405.

4. How to Find the GCF of 20398 and 20405?

Answer:

Greatest Common Factor of 20398 and 20405 = 7

Step 1: Find the prime factorization of 20398

20398 = 2 x 7 x 31 x 47

Step 2: Find the prime factorization of 20405

20405 = 5 x 7 x 11 x 53

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

GCF = 7

Step 4: Therefore, the greatest common factor of 20398 and 20405 is 7