Greatest Common Factor of 16221 and 16227

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 16221, 16227 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 16221 and 16227 is 3.

GCF(16221,16227) = 3

GCF of 16221 and 16227

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

GCF of:
and

Greatest Common Factor of 16221 and 16227

GCF of 16221 and 16227 is 3

Prime Factorization of 16221


3 16221
5407 5407
1

Prime factors of 16221 are 3,5407. Prime factorization of 16221 in exponential form is:

16221 = 31×54071

Prime Factorization of 16227


3 16227
3 5409
3 1803
601 601
1

Prime factors of 16227 are 3,601. Prime factorization of 16227 in exponential form is:

16227 = 33×6011

∴ So by taking common prime factors GCF of 16221 and 16227 is 3

Greatest Common Factor of 16221 and 16227 by matching factors method

Factors of 16221

List of positive integer factors of 16221 that divides 16221 without a remainder.

1,3,5407,16221

Factors of 16227

List of positive integer factors of 16227 that divides 16227 without a remainder.

1,3,9,27,601,1803,5409,16227

Greatest Common Factor

We found the factors and prime factorization of 16221 and 16227. The biggest common factor number is the GCF number.
So the greatest common factor 16221 and 16227 is 3.

Also check out the Least Common Multiple of 16221 and 16227

Properties of GCF 16221 and 16227

(i) The GCF of 16221 and 16227 is associative

GCF of 16221 and 16227 = GCF of 16227 and 16221

Related Greatest Common Factor of 16221

Related Greatest Common Factor of 16227

Frequently Asked Questions on GCF of 16221 and 16227

1. What is the GCF of 16221 and 16227?

Answer: GCF of 16221 and 16227 is 3.

2. What are the Factors of 16221?

Answer: Factors of 16221 are 1, 3, 5407, 16221. There are 4 integers that are factors of 16221. The greatest factor of 16221 is 16221.

3. What are the Factors of 16227?

Answer: Factors of 16227 are 1, 3, 9, 27, 601, 1803, 5409, 16227. There are 8 integers that are factors of 16227. The greatest factor of 16227 is 16227.

4. How to Find the GCF of 16221 and 16227?

Answer:

Greatest Common Factor of 16221 and 16227 = 3

Step 1: Find the prime factorization of 16221

16221 = 3 x 5407

Step 2: Find the prime factorization of 16227

16227 = 3 x 3 x 3 x 601

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 16221 and 16227 is 3