Greatest Common Factor of 28209 and 28215

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 28209, 28215 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 28209 and 28215 is 3.

GCF(28209,28215) = 3

GCF of 28209 and 28215

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

GCF of:
and

Greatest Common Factor of 28209 and 28215

GCF of 28209 and 28215 is 3

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

Prime Factorization of 28215


3 28215
3 9405
3 3135
5 1045
11 209
19 19
1

Prime factors of 28215 are 3,5,11,19. Prime factorization of 28215 in exponential form is:

28215 = 33×51×111×191

∴ So by taking common prime factors GCF of 28209 and 28215 is 3

Greatest Common Factor of 28209 and 28215 by matching factors method

Factors of 28209

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

1,3,9403,28209

Factors of 28215

List of positive integer factors of 28215 that divides 28215 without a remainder.

1,3,5,9,11,15,19,27,33,45,55,57,95,99,135,165,171,209,285,297,495,513,627,855,1045,1485,1881,2565,3135,5643,9405,28215

Greatest Common Factor

We found the factors and prime factorization of 28209 and 28215. The biggest common factor number is the GCF number.
So the greatest common factor 28209 and 28215 is 3.

Also check out the Least Common Multiple of 28209 and 28215

Properties of GCF 28209 and 28215

(i) The GCF of 28209 and 28215 is associative

GCF of 28209 and 28215 = GCF of 28215 and 28209

Related Greatest Common Factor of 28209

Related Greatest Common Factor of 28215

Frequently Asked Questions on GCF of 28209 and 28215

1. What is the GCF of 28209 and 28215?

Answer: GCF of 28209 and 28215 is 3.

2. 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.

3. What are the Factors of 28215?

Answer: Factors of 28215 are 1, 3, 5, 9, 11, 15, 19, 27, 33, 45, 55, 57, 95, 99, 135, 165, 171, 209, 285, 297, 495, 513, 627, 855, 1045, 1485, 1881, 2565, 3135, 5643, 9405, 28215. There are 32 integers that are factors of 28215. The greatest factor of 28215 is 28215.

4. How to Find the GCF of 28209 and 28215?

Answer:

Greatest Common Factor of 28209 and 28215 = 3

Step 1: Find the prime factorization of 28209

28209 = 3 x 9403

Step 2: Find the prime factorization of 28215

28215 = 3 x 3 x 3 x 5 x 11 x 19

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 28209 and 28215 is 3