Greatest Common Factor of 12400 and 12405

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 12400, 12405 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12400 and 12405 is 5.

GCF(12400,12405) = 5

GCF of 12400 and 12405

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

GCF of:
and

Greatest Common Factor of 12400 and 12405

GCF of 12400 and 12405 is 5

Prime Factorization of 12400


2 12400
2 6200
2 3100
2 1550
5 775
5 155
31 31
1

Prime factors of 12400 are 2,5,31. Prime factorization of 12400 in exponential form is:

12400 = 24×52×311

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

∴ So by taking common prime factors GCF of 12400 and 12405 is 5

Greatest Common Factor of 12400 and 12405 by matching factors method

Factors of 12400

List of positive integer factors of 12400 that divides 12400 without a remainder.

1,2,4,5,8,10,16,20,25,31,40,50,62,80,100,124,155,200,248,310,400,496,620,775,1240,1550,2480,3100,6200,12400

Factors of 12405

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

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

Greatest Common Factor

We found the factors and prime factorization of 12400 and 12405. The biggest common factor number is the GCF number.
So the greatest common factor 12400 and 12405 is 5.

Also check out the Least Common Multiple of 12400 and 12405

Properties of GCF 12400 and 12405

(i) The GCF of 12400 and 12405 is associative

GCF of 12400 and 12405 = GCF of 12405 and 12400

Related Greatest Common Factor of 12400

Related Greatest Common Factor of 12405

Frequently Asked Questions on GCF of 12400 and 12405

1. What is the GCF of 12400 and 12405?

Answer: GCF of 12400 and 12405 is 5.

2. What are the Factors of 12400?

Answer: Factors of 12400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 31, 40, 50, 62, 80, 100, 124, 155, 200, 248, 310, 400, 496, 620, 775, 1240, 1550, 2480, 3100, 6200, 12400. There are 30 integers that are factors of 12400. The greatest factor of 12400 is 12400.

3. 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.

4. How to Find the GCF of 12400 and 12405?

Answer:

Greatest Common Factor of 12400 and 12405 = 5

Step 1: Find the prime factorization of 12400

12400 = 2 x 2 x 2 x 2 x 5 x 5 x 31

Step 2: Find the prime factorization of 12405

12405 = 3 x 5 x 827

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 12400 and 12405 is 5