Greatest Common Factor of 9398 and 9405

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 9398, 9405 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9398 and 9405 is 1.

GCF(9398,9405) = 1

GCF of 9398 and 9405

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

GCF of:
and

Greatest Common Factor of 9398 and 9405

GCF of 9398 and 9405 is 1

Prime Factorization of 9398


2 9398
37 4699
127 127
1

Prime factors of 9398 are 2,37,127. Prime factorization of 9398 in exponential form is:

9398 = 21×371×1271

Prime Factorization of 9405


3 9405
3 3135
5 1045
11 209
19 19
1

Prime factors of 9405 are 3,5,11,19. Prime factorization of 9405 in exponential form is:

9405 = 32×51×111×191

∴ So by taking common prime factors GCF of 9398 and 9405 is 1

Greatest Common Factor of 9398 and 9405 by matching factors method

Factors of 9398

List of positive integer factors of 9398 that divides 9398 without a remainder.

1,2,37,74,127,254,4699,9398

Factors of 9405

List of positive integer factors of 9405 that divides 9405 without a remainder.

1,3,5,9,11,15,19,33,45,55,57,95,99,165,171,209,285,495,627,855,1045,1881,3135,9405

Greatest Common Factor

We found the factors and prime factorization of 9398 and 9405. The biggest common factor number is the GCF number.
So the greatest common factor 9398 and 9405 is 1.

Also check out the Least Common Multiple of 9398 and 9405

Properties of GCF 9398 and 9405

(i) The GCF of 9398 and 9405 is associative

GCF of 9398 and 9405 = GCF of 9405 and 9398

Related Greatest Common Factor of 9398

Related Greatest Common Factor of 9405

Frequently Asked Questions on GCF of 9398 and 9405

1. What is the GCF of 9398 and 9405?

Answer: GCF of 9398 and 9405 is 1.

2. What are the Factors of 9398?

Answer: Factors of 9398 are 1, 2, 37, 74, 127, 254, 4699, 9398. There are 8 integers that are factors of 9398. The greatest factor of 9398 is 9398.

3. What are the Factors of 9405?

Answer: Factors of 9405 are 1, 3, 5, 9, 11, 15, 19, 33, 45, 55, 57, 95, 99, 165, 171, 209, 285, 495, 627, 855, 1045, 1881, 3135, 9405. There are 24 integers that are factors of 9405. The greatest factor of 9405 is 9405.

4. How to Find the GCF of 9398 and 9405?

Answer:

Greatest Common Factor of 9398 and 9405 = 1

Step 1: Find the prime factorization of 9398

9398 = 2 x 37 x 127

Step 2: Find the prime factorization of 9405

9405 = 3 x 3 x 5 x 11 x 19

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 9398 and 9405 is 1