Greatest Common Factor of 28206 and 28209

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 28206, 28209 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 28206 and 28209 is 3.

GCF(28206,28209) = 3

GCF of 28206 and 28209

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

GCF of:
and

Greatest Common Factor of 28206 and 28209

GCF of 28206 and 28209 is 3

Prime Factorization of 28206


2 28206
3 14103
3 4701
1567 1567
1

Prime factors of 28206 are 2,3,1567. Prime factorization of 28206 in exponential form is:

28206 = 21×32×15671

Prime Factorization of 28209


3 28209
9403 9403
1

Prime factors of 28209 are 3,9403. Prime factorization of 28209 in exponential form is:

28209 = 31×94031

∴ So by taking common prime factors GCF of 28206 and 28209 is 3

Greatest Common Factor of 28206 and 28209 by matching factors method

Factors of 28206

List of positive integer factors of 28206 that divides 28206 without a remainder.

1,2,3,6,9,18,1567,3134,4701,9402,14103,28206

Factors of 28209

List of positive integer factors of 28209 that divides 28209 without a remainder.

1,3,9403,28209

Greatest Common Factor

We found the factors and prime factorization of 28206 and 28209. The biggest common factor number is the GCF number.
So the greatest common factor 28206 and 28209 is 3.

Also check out the Least Common Multiple of 28206 and 28209

Properties of GCF 28206 and 28209

(i) The GCF of 28206 and 28209 is associative

GCF of 28206 and 28209 = GCF of 28209 and 28206

Related Greatest Common Factor of 28206

Related Greatest Common Factor of 28209

Frequently Asked Questions on GCF of 28206 and 28209

1. What is the GCF of 28206 and 28209?

Answer: GCF of 28206 and 28209 is 3.

2. What are the Factors of 28206?

Answer: Factors of 28206 are 1, 2, 3, 6, 9, 18, 1567, 3134, 4701, 9402, 14103, 28206. There are 12 integers that are factors of 28206. The greatest factor of 28206 is 28206.

3. What are the Factors of 28209?

Answer: Factors of 28209 are 1, 3, 9403, 28209. There are 4 integers that are factors of 28209. The greatest factor of 28209 is 28209.

4. How to Find the GCF of 28206 and 28209?

Answer:

Greatest Common Factor of 28206 and 28209 = 3

Step 1: Find the prime factorization of 28206

28206 = 2 x 3 x 3 x 1567

Step 2: Find the prime factorization of 28209

28209 = 3 x 9403

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 28206 and 28209 is 3