Greatest Common Factor of 9405 and 9410

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 9405, 9410 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9405 and 9410 is 5.

GCF(9405,9410) = 5

GCF of 9405 and 9410

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

GCF of:
and

Greatest Common Factor of 9405 and 9410

GCF of 9405 and 9410 is 5

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

Prime Factorization of 9410


2 9410
5 4705
941 941
1

Prime factors of 9410 are 2,5,941. Prime factorization of 9410 in exponential form is:

9410 = 21×51×9411

∴ So by taking common prime factors GCF of 9405 and 9410 is 5

Greatest Common Factor of 9405 and 9410 by matching factors method

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

Factors of 9410

List of positive integer factors of 9410 that divides 9410 without a remainder.

1,2,5,10,941,1882,4705,9410

Greatest Common Factor

We found the factors and prime factorization of 9405 and 9410. The biggest common factor number is the GCF number.
So the greatest common factor 9405 and 9410 is 5.

Also check out the Least Common Multiple of 9405 and 9410

Properties of GCF 9405 and 9410

(i) The GCF of 9405 and 9410 is associative

GCF of 9405 and 9410 = GCF of 9410 and 9405

Related Greatest Common Factor of 9405

Related Greatest Common Factor of 9410

Frequently Asked Questions on GCF of 9405 and 9410

1. What is the GCF of 9405 and 9410?

Answer: GCF of 9405 and 9410 is 5.

2. 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.

3. What are the Factors of 9410?

Answer: Factors of 9410 are 1, 2, 5, 10, 941, 1882, 4705, 9410. There are 8 integers that are factors of 9410. The greatest factor of 9410 is 9410.

4. How to Find the GCF of 9405 and 9410?

Answer:

Greatest Common Factor of 9405 and 9410 = 5

Step 1: Find the prime factorization of 9405

9405 = 3 x 3 x 5 x 11 x 19

Step 2: Find the prime factorization of 9410

9410 = 2 x 5 x 941

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

GCF = 5

Step 4: Therefore, the greatest common factor of 9405 and 9410 is 5