Greatest Common Factor of 16221 and 16229

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, 16229 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 16221 and 16229 is 1.

GCF(16221,16229) = 1

GCF of 16221 and 16229

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

GCF of:
and

Greatest Common Factor of 16221 and 16229

GCF of 16221 and 16229 is 1

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 16229


16229 16229
1

Prime factors of 16229 are 16229. Prime factorization of 16229 in exponential form is:

16229 = 162291

∴ So by taking common prime factors GCF of 16221 and 16229 is 1

Greatest Common Factor of 16221 and 16229 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 16229

List of positive integer factors of 16229 that divides 16229 without a remainder.

1,16229

Greatest Common Factor

We found the factors and prime factorization of 16221 and 16229. The biggest common factor number is the GCF number.
So the greatest common factor 16221 and 16229 is 1.

Also check out the Least Common Multiple of 16221 and 16229

Properties of GCF 16221 and 16229

(i) The GCF of 16221 and 16229 is associative

GCF of 16221 and 16229 = GCF of 16229 and 16221

Related Greatest Common Factor of 16221

Related Greatest Common Factor of 16229

Frequently Asked Questions on GCF of 16221 and 16229

1. What is the GCF of 16221 and 16229?

Answer: GCF of 16221 and 16229 is 1.

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 16229?

Answer: Factors of 16229 are 1, 16229. There are 2 integers that are factors of 16229. The greatest factor of 16229 is 16229.

4. How to Find the GCF of 16221 and 16229?

Answer:

Greatest Common Factor of 16221 and 16229 = 1

Step 1: Find the prime factorization of 16221

16221 = 3 x 5407

Step 2: Find the prime factorization of 16229

16229 = 16229

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 16221 and 16229 is 1