Greatest Common Factor of 16400 and 16403

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 16400, 16403 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 16400 and 16403 is 1.

GCF(16400,16403) = 1

GCF of 16400 and 16403

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

GCF of:
and

Greatest Common Factor of 16400 and 16403

GCF of 16400 and 16403 is 1

Prime Factorization of 16400


2 16400
2 8200
2 4100
2 2050
5 1025
5 205
41 41
1

Prime factors of 16400 are 2,5,41. Prime factorization of 16400 in exponential form is:

16400 = 24×52×411

Prime Factorization of 16403


47 16403
349 349
1

Prime factors of 16403 are 47,349. Prime factorization of 16403 in exponential form is:

16403 = 471×3491

∴ So by taking common prime factors GCF of 16400 and 16403 is 1

Greatest Common Factor of 16400 and 16403 by matching factors method

Factors of 16400

List of positive integer factors of 16400 that divides 16400 without a remainder.

1,2,4,5,8,10,16,20,25,40,41,50,80,82,100,164,200,205,328,400,410,656,820,1025,1640,2050,3280,4100,8200,16400

Factors of 16403

List of positive integer factors of 16403 that divides 16403 without a remainder.

1,47,349,16403

Greatest Common Factor

We found the factors and prime factorization of 16400 and 16403. The biggest common factor number is the GCF number.
So the greatest common factor 16400 and 16403 is 1.

Also check out the Least Common Multiple of 16400 and 16403

Properties of GCF 16400 and 16403

(i) The GCF of 16400 and 16403 is associative

GCF of 16400 and 16403 = GCF of 16403 and 16400

Related Greatest Common Factor of 16400

Related Greatest Common Factor of 16403

Frequently Asked Questions on GCF of 16400 and 16403

1. What is the GCF of 16400 and 16403?

Answer: GCF of 16400 and 16403 is 1.

2. What are the Factors of 16400?

Answer: Factors of 16400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 41, 50, 80, 82, 100, 164, 200, 205, 328, 400, 410, 656, 820, 1025, 1640, 2050, 3280, 4100, 8200, 16400. There are 30 integers that are factors of 16400. The greatest factor of 16400 is 16400.

3. What are the Factors of 16403?

Answer: Factors of 16403 are 1, 47, 349, 16403. There are 4 integers that are factors of 16403. The greatest factor of 16403 is 16403.

4. How to Find the GCF of 16400 and 16403?

Answer:

Greatest Common Factor of 16400 and 16403 = 1

Step 1: Find the prime factorization of 16400

16400 = 2 x 2 x 2 x 2 x 5 x 5 x 41

Step 2: Find the prime factorization of 16403

16403 = 47 x 349

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 16400 and 16403 is 1