Greatest Common Factor of 16219 and 16221

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 16219, 16221 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 16219 and 16221 is 1.

GCF(16219,16221) = 1

GCF of 16219 and 16221

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

GCF of:
and

Greatest Common Factor of 16219 and 16221

GCF of 16219 and 16221 is 1

Prime Factorization of 16219


7 16219
7 2317
331 331
1

Prime factors of 16219 are 7,331. Prime factorization of 16219 in exponential form is:

16219 = 72×3311

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

∴ So by taking common prime factors GCF of 16219 and 16221 is 1

Greatest Common Factor of 16219 and 16221 by matching factors method

Factors of 16219

List of positive integer factors of 16219 that divides 16219 without a remainder.

1,7,49,331,2317,16219

Factors of 16221

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

1,3,5407,16221

Greatest Common Factor

We found the factors and prime factorization of 16219 and 16221. The biggest common factor number is the GCF number.
So the greatest common factor 16219 and 16221 is 1.

Also check out the Least Common Multiple of 16219 and 16221

Properties of GCF 16219 and 16221

(i) The GCF of 16219 and 16221 is associative

GCF of 16219 and 16221 = GCF of 16221 and 16219

Related Greatest Common Factor of 16219

Related Greatest Common Factor of 16221

Frequently Asked Questions on GCF of 16219 and 16221

1. What is the GCF of 16219 and 16221?

Answer: GCF of 16219 and 16221 is 1.

2. What are the Factors of 16219?

Answer: Factors of 16219 are 1, 7, 49, 331, 2317, 16219. There are 6 integers that are factors of 16219. The greatest factor of 16219 is 16219.

3. 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.

4. How to Find the GCF of 16219 and 16221?

Answer:

Greatest Common Factor of 16219 and 16221 = 1

Step 1: Find the prime factorization of 16219

16219 = 7 x 7 x 331

Step 2: Find the prime factorization of 16221

16221 = 3 x 5407

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 16219 and 16221 is 1