Greatest Common Factor of 12405 and 12410

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 12405, 12410 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12405 and 12410 is 5.

GCF(12405,12410) = 5

GCF of 12405 and 12410

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

GCF of:
and

Greatest Common Factor of 12405 and 12410

GCF of 12405 and 12410 is 5

Prime Factorization of 12405


3 12405
5 4135
827 827
1

Prime factors of 12405 are 3,5,827. Prime factorization of 12405 in exponential form is:

12405 = 31×51×8271

Prime Factorization of 12410


2 12410
5 6205
17 1241
73 73
1

Prime factors of 12410 are 2,5,17,73. Prime factorization of 12410 in exponential form is:

12410 = 21×51×171×731

∴ So by taking common prime factors GCF of 12405 and 12410 is 5

Greatest Common Factor of 12405 and 12410 by matching factors method

Factors of 12405

List of positive integer factors of 12405 that divides 12405 without a remainder.

1,3,5,15,827,2481,4135,12405

Factors of 12410

List of positive integer factors of 12410 that divides 12410 without a remainder.

1,2,5,10,17,34,73,85,146,170,365,730,1241,2482,6205,12410

Greatest Common Factor

We found the factors and prime factorization of 12405 and 12410. The biggest common factor number is the GCF number.
So the greatest common factor 12405 and 12410 is 5.

Also check out the Least Common Multiple of 12405 and 12410

Properties of GCF 12405 and 12410

(i) The GCF of 12405 and 12410 is associative

GCF of 12405 and 12410 = GCF of 12410 and 12405

Related Greatest Common Factor of 12405

Related Greatest Common Factor of 12410

Frequently Asked Questions on GCF of 12405 and 12410

1. What is the GCF of 12405 and 12410?

Answer: GCF of 12405 and 12410 is 5.

2. What are the Factors of 12405?

Answer: Factors of 12405 are 1, 3, 5, 15, 827, 2481, 4135, 12405. There are 8 integers that are factors of 12405. The greatest factor of 12405 is 12405.

3. What are the Factors of 12410?

Answer: Factors of 12410 are 1, 2, 5, 10, 17, 34, 73, 85, 146, 170, 365, 730, 1241, 2482, 6205, 12410. There are 16 integers that are factors of 12410. The greatest factor of 12410 is 12410.

4. How to Find the GCF of 12405 and 12410?

Answer:

Greatest Common Factor of 12405 and 12410 = 5

Step 1: Find the prime factorization of 12405

12405 = 3 x 5 x 827

Step 2: Find the prime factorization of 12410

12410 = 2 x 5 x 17 x 73

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 12405 and 12410 is 5