Greatest Common Factor of 4209 and 4215

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 4209, 4215 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4209 and 4215 is 3.

GCF(4209,4215) = 3

GCF of 4209 and 4215

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

GCF of:
and

Greatest Common Factor of 4209 and 4215

GCF of 4209 and 4215 is 3

Prime Factorization of 4209


3 4209
23 1403
61 61
1

Prime factors of 4209 are 3,23,61. Prime factorization of 4209 in exponential form is:

4209 = 31×231×611

Prime Factorization of 4215


3 4215
5 1405
281 281
1

Prime factors of 4215 are 3,5,281. Prime factorization of 4215 in exponential form is:

4215 = 31×51×2811

∴ So by taking common prime factors GCF of 4209 and 4215 is 3

Greatest Common Factor of 4209 and 4215 by matching factors method

Factors of 4209

List of positive integer factors of 4209 that divides 4209 without a remainder.

1,3,23,61,69,183,1403,4209

Factors of 4215

List of positive integer factors of 4215 that divides 4215 without a remainder.

1,3,5,15,281,843,1405,4215

Greatest Common Factor

We found the factors and prime factorization of 4209 and 4215. The biggest common factor number is the GCF number.
So the greatest common factor 4209 and 4215 is 3.

Also check out the Least Common Multiple of 4209 and 4215

Properties of GCF 4209 and 4215

(i) The GCF of 4209 and 4215 is associative

GCF of 4209 and 4215 = GCF of 4215 and 4209

Related Greatest Common Factor of 4209

Related Greatest Common Factor of 4215

Frequently Asked Questions on GCF of 4209 and 4215

1. What is the GCF of 4209 and 4215?

Answer: GCF of 4209 and 4215 is 3.

2. What are the Factors of 4209?

Answer: Factors of 4209 are 1, 3, 23, 61, 69, 183, 1403, 4209. There are 8 integers that are factors of 4209. The greatest factor of 4209 is 4209.

3. What are the Factors of 4215?

Answer: Factors of 4215 are 1, 3, 5, 15, 281, 843, 1405, 4215. There are 8 integers that are factors of 4215. The greatest factor of 4215 is 4215.

4. How to Find the GCF of 4209 and 4215?

Answer:

Greatest Common Factor of 4209 and 4215 = 3

Step 1: Find the prime factorization of 4209

4209 = 3 x 23 x 61

Step 2: Find the prime factorization of 4215

4215 = 3 x 5 x 281

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 4209 and 4215 is 3