Greatest Common Factor of 16203 and 16206

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 16203, 16206 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 16203 and 16206 is 3.

GCF(16203,16206) = 3

GCF of 16203 and 16206

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

GCF of:
and

Greatest Common Factor of 16203 and 16206

GCF of 16203 and 16206 is 3

Prime Factorization of 16203


3 16203
11 5401
491 491
1

Prime factors of 16203 are 3,11,491. Prime factorization of 16203 in exponential form is:

16203 = 31×111×4911

Prime Factorization of 16206


2 16206
3 8103
37 2701
73 73
1

Prime factors of 16206 are 2,3,37,73. Prime factorization of 16206 in exponential form is:

16206 = 21×31×371×731

∴ So by taking common prime factors GCF of 16203 and 16206 is 3

Greatest Common Factor of 16203 and 16206 by matching factors method

Factors of 16203

List of positive integer factors of 16203 that divides 16203 without a remainder.

1,3,11,33,491,1473,5401,16203

Factors of 16206

List of positive integer factors of 16206 that divides 16206 without a remainder.

1,2,3,6,37,73,74,111,146,219,222,438,2701,5402,8103,16206

Greatest Common Factor

We found the factors and prime factorization of 16203 and 16206. The biggest common factor number is the GCF number.
So the greatest common factor 16203 and 16206 is 3.

Also check out the Least Common Multiple of 16203 and 16206

Properties of GCF 16203 and 16206

(i) The GCF of 16203 and 16206 is associative

GCF of 16203 and 16206 = GCF of 16206 and 16203

Related Greatest Common Factor of 16203

Related Greatest Common Factor of 16206

Frequently Asked Questions on GCF of 16203 and 16206

1. What is the GCF of 16203 and 16206?

Answer: GCF of 16203 and 16206 is 3.

2. What are the Factors of 16203?

Answer: Factors of 16203 are 1, 3, 11, 33, 491, 1473, 5401, 16203. There are 8 integers that are factors of 16203. The greatest factor of 16203 is 16203.

3. What are the Factors of 16206?

Answer: Factors of 16206 are 1, 2, 3, 6, 37, 73, 74, 111, 146, 219, 222, 438, 2701, 5402, 8103, 16206. There are 16 integers that are factors of 16206. The greatest factor of 16206 is 16206.

4. How to Find the GCF of 16203 and 16206?

Answer:

Greatest Common Factor of 16203 and 16206 = 3

Step 1: Find the prime factorization of 16203

16203 = 3 x 11 x 491

Step 2: Find the prime factorization of 16206

16206 = 2 x 3 x 37 x 73

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

GCF = 3

Step 4: Therefore, the greatest common factor of 16203 and 16206 is 3