Greatest Common Factor of 16402 and 16406

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 16402, 16406 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 16402 and 16406 is 2.

GCF(16402,16406) = 2

GCF of 16402 and 16406

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

GCF of:
and

Greatest Common Factor of 16402 and 16406

GCF of 16402 and 16406 is 2

Prime Factorization of 16402


2 16402
59 8201
139 139
1

Prime factors of 16402 are 2,59,139. Prime factorization of 16402 in exponential form is:

16402 = 21×591×1391

Prime Factorization of 16406


2 16406
13 8203
631 631
1

Prime factors of 16406 are 2,13,631. Prime factorization of 16406 in exponential form is:

16406 = 21×131×6311

∴ So by taking common prime factors GCF of 16402 and 16406 is 2

Greatest Common Factor of 16402 and 16406 by matching factors method

Factors of 16402

List of positive integer factors of 16402 that divides 16402 without a remainder.

1,2,59,118,139,278,8201,16402

Factors of 16406

List of positive integer factors of 16406 that divides 16406 without a remainder.

1,2,13,26,631,1262,8203,16406

Greatest Common Factor

We found the factors and prime factorization of 16402 and 16406. The biggest common factor number is the GCF number.
So the greatest common factor 16402 and 16406 is 2.

Also check out the Least Common Multiple of 16402 and 16406

Properties of GCF 16402 and 16406

(i) The GCF of 16402 and 16406 is associative

GCF of 16402 and 16406 = GCF of 16406 and 16402

Related Greatest Common Factor of 16402

Related Greatest Common Factor of 16406

Frequently Asked Questions on GCF of 16402 and 16406

1. What is the GCF of 16402 and 16406?

Answer: GCF of 16402 and 16406 is 2.

2. What are the Factors of 16402?

Answer: Factors of 16402 are 1, 2, 59, 118, 139, 278, 8201, 16402. There are 8 integers that are factors of 16402. The greatest factor of 16402 is 16402.

3. What are the Factors of 16406?

Answer: Factors of 16406 are 1, 2, 13, 26, 631, 1262, 8203, 16406. There are 8 integers that are factors of 16406. The greatest factor of 16406 is 16406.

4. How to Find the GCF of 16402 and 16406?

Answer:

Greatest Common Factor of 16402 and 16406 = 2

Step 1: Find the prime factorization of 16402

16402 = 2 x 59 x 139

Step 2: Find the prime factorization of 16406

16406 = 2 x 13 x 631

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 16402 and 16406 is 2