Greatest Common Factor of 16401 and 16409

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 16401, 16409 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 16401 and 16409 is 1.

GCF(16401,16409) = 1

GCF of 16401 and 16409

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

GCF of:
and

Greatest Common Factor of 16401 and 16409

GCF of 16401 and 16409 is 1

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

Prime Factorization of 16409


61 16409
269 269
1

Prime factors of 16409 are 61,269. Prime factorization of 16409 in exponential form is:

16409 = 611×2691

∴ So by taking common prime factors GCF of 16401 and 16409 is 1

Greatest Common Factor of 16401 and 16409 by matching factors method

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

Factors of 16409

List of positive integer factors of 16409 that divides 16409 without a remainder.

1,61,269,16409

Greatest Common Factor

We found the factors and prime factorization of 16401 and 16409. The biggest common factor number is the GCF number.
So the greatest common factor 16401 and 16409 is 1.

Also check out the Least Common Multiple of 16401 and 16409

Properties of GCF 16401 and 16409

(i) The GCF of 16401 and 16409 is associative

GCF of 16401 and 16409 = GCF of 16409 and 16401

Related Greatest Common Factor of 16401

Related Greatest Common Factor of 16409

Frequently Asked Questions on GCF of 16401 and 16409

1. What is the GCF of 16401 and 16409?

Answer: GCF of 16401 and 16409 is 1.

2. 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.

3. What are the Factors of 16409?

Answer: Factors of 16409 are 1, 61, 269, 16409. There are 4 integers that are factors of 16409. The greatest factor of 16409 is 16409.

4. How to Find the GCF of 16401 and 16409?

Answer:

Greatest Common Factor of 16401 and 16409 = 1

Step 1: Find the prime factorization of 16401

16401 = 3 x 7 x 11 x 71

Step 2: Find the prime factorization of 16409

16409 = 61 x 269

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 16401 and 16409 is 1