Greatest Common Factor of 398 and 405

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 398, 405 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 398 and 405 is 1.

GCF(398,405) = 1

GCF of 398 and 405

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

GCF of:
and

Greatest Common Factor of 398 and 405

GCF of 398 and 405 is 1

Prime Factorization of 398


2 398
199 199
1

Prime factors of 398 are 2,199. Prime factorization of 398 in exponential form is:

398 = 21×1991

Prime Factorization of 405


3 405
3 135
3 45
3 15
5 5
1

Prime factors of 405 are 3,5. Prime factorization of 405 in exponential form is:

405 = 34×51

∴ So by taking common prime factors GCF of 398 and 405 is 1

Greatest Common Factor of 398 and 405 by matching factors method

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Greatest Common Factor

We found the factors and prime factorization of 398 and 405. The biggest common factor number is the GCF number.
So the greatest common factor 398 and 405 is 1.

Also check out the Least Common Multiple of 398 and 405

Properties of GCF 398 and 405

(i) The GCF of 398 and 405 is associative

GCF of 398 and 405 = GCF of 405 and 398

Related Greatest Common Factor of 398

Related Greatest Common Factor of 405

Frequently Asked Questions on GCF of 398 and 405

1. What is the GCF of 398 and 405?

Answer: GCF of 398 and 405 is 1.

2. What are the Factors of 398?

Answer: Factors of 398 are 1, 2, 199, 398. There are 4 integers that are factors of 398. The greatest factor of 398 is 398.

3. What are the Factors of 405?

Answer: Factors of 405 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 405. There are 10 integers that are factors of 405. The greatest factor of 405 is 405.

4. How to Find the GCF of 398 and 405?

Answer:

Greatest Common Factor of 398 and 405 = 1

Step 1: Find the prime factorization of 398

398 = 2 x 199

Step 2: Find the prime factorization of 405

405 = 3 x 3 x 3 x 3 x 5

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 398 and 405 is 1