Greatest Common Factor of 16400 and 16401

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, 16401 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 16400 and 16401 is 1.

GCF(16400,16401) = 1

GCF of 16400 and 16401

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

GCF of:
and

Greatest Common Factor of 16400 and 16401

GCF of 16400 and 16401 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 16401


3 16401
7 5467
11 781
71 71
1

Prime factors of 16401 are 3,7,11,71. Prime factorization of 16401 in exponential form is:

16401 = 31×71×111×711

∴ So by taking common prime factors GCF of 16400 and 16401 is 1

Greatest Common Factor of 16400 and 16401 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 16401

List of positive integer factors of 16401 that divides 16401 without a remainder.

1,3,7,11,21,33,71,77,213,231,497,781,1491,2343,5467,16401

Greatest Common Factor

We found the factors and prime factorization of 16400 and 16401. The biggest common factor number is the GCF number.
So the greatest common factor 16400 and 16401 is 1.

Also check out the Least Common Multiple of 16400 and 16401

Properties of GCF 16400 and 16401

(i) The GCF of 16400 and 16401 is associative

GCF of 16400 and 16401 = GCF of 16401 and 16400

Related Greatest Common Factor of 16400

Related Greatest Common Factor of 16401

Frequently Asked Questions on GCF of 16400 and 16401

1. What is the GCF of 16400 and 16401?

Answer: GCF of 16400 and 16401 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 16401?

Answer: Factors of 16401 are 1, 3, 7, 11, 21, 33, 71, 77, 213, 231, 497, 781, 1491, 2343, 5467, 16401. There are 16 integers that are factors of 16401. The greatest factor of 16401 is 16401.

4. How to Find the GCF of 16400 and 16401?

Answer:

Greatest Common Factor of 16400 and 16401 = 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 16401

16401 = 3 x 7 x 11 x 71

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 16401 is 1