Greatest Common Factor of 28215 and 28216

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 28215, 28216 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 28215 and 28216 is 1.

GCF(28215,28216) = 1

GCF of 28215 and 28216

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

GCF of:
and

Greatest Common Factor of 28215 and 28216

GCF of 28215 and 28216 is 1

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

Prime Factorization of 28216


2 28216
2 14108
2 7054
3527 3527
1

Prime factors of 28216 are 2,3527. Prime factorization of 28216 in exponential form is:

28216 = 23×35271

∴ So by taking common prime factors GCF of 28215 and 28216 is 1

Greatest Common Factor of 28215 and 28216 by matching factors method

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

Factors of 28216

List of positive integer factors of 28216 that divides 28216 without a remainder.

1,2,4,8,3527,7054,14108,28216

Greatest Common Factor

We found the factors and prime factorization of 28215 and 28216. The biggest common factor number is the GCF number.
So the greatest common factor 28215 and 28216 is 1.

Also check out the Least Common Multiple of 28215 and 28216

Properties of GCF 28215 and 28216

(i) The GCF of 28215 and 28216 is associative

GCF of 28215 and 28216 = GCF of 28216 and 28215

Related Greatest Common Factor of 28215

Related Greatest Common Factor of 28216

Frequently Asked Questions on GCF of 28215 and 28216

1. What is the GCF of 28215 and 28216?

Answer: GCF of 28215 and 28216 is 1.

2. 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.

3. What are the Factors of 28216?

Answer: Factors of 28216 are 1, 2, 4, 8, 3527, 7054, 14108, 28216. There are 8 integers that are factors of 28216. The greatest factor of 28216 is 28216.

4. How to Find the GCF of 28215 and 28216?

Answer:

Greatest Common Factor of 28215 and 28216 = 1

Step 1: Find the prime factorization of 28215

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

Step 2: Find the prime factorization of 28216

28216 = 2 x 2 x 2 x 3527

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 28215 and 28216 is 1