Greatest Common Factor of 1209 and 1215

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 1209, 1215 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1209 and 1215 is 3.

GCF(1209,1215) = 3

GCF of 1209 and 1215

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

GCF of:
and

Greatest Common Factor of 1209 and 1215

GCF of 1209 and 1215 is 3

Prime Factorization of 1209


3 1209
13 403
31 31
1

Prime factors of 1209 are 3,13,31. Prime factorization of 1209 in exponential form is:

1209 = 31×131×311

Prime Factorization of 1215


3 1215
3 405
3 135
3 45
3 15
5 5
1

Prime factors of 1215 are 3,5. Prime factorization of 1215 in exponential form is:

1215 = 35×51

∴ So by taking common prime factors GCF of 1209 and 1215 is 3

Greatest Common Factor of 1209 and 1215 by matching factors method

Factors of 1209

List of positive integer factors of 1209 that divides 1209 without a remainder.

1,3,13,31,39,93,403,1209

Factors of 1215

List of positive integer factors of 1215 that divides 1215 without a remainder.

1,3,5,9,15,27,45,81,135,243,405,1215

Greatest Common Factor

We found the factors and prime factorization of 1209 and 1215. The biggest common factor number is the GCF number.
So the greatest common factor 1209 and 1215 is 3.

Also check out the Least Common Multiple of 1209 and 1215

Properties of GCF 1209 and 1215

(i) The GCF of 1209 and 1215 is associative

GCF of 1209 and 1215 = GCF of 1215 and 1209

Related Greatest Common Factor of 1209

Related Greatest Common Factor of 1215

Frequently Asked Questions on GCF of 1209 and 1215

1. What is the GCF of 1209 and 1215?

Answer: GCF of 1209 and 1215 is 3.

2. What are the Factors of 1209?

Answer: Factors of 1209 are 1, 3, 13, 31, 39, 93, 403, 1209. There are 8 integers that are factors of 1209. The greatest factor of 1209 is 1209.

3. What are the Factors of 1215?

Answer: Factors of 1215 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 1215. There are 12 integers that are factors of 1215. The greatest factor of 1215 is 1215.

4. How to Find the GCF of 1209 and 1215?

Answer:

Greatest Common Factor of 1209 and 1215 = 3

Step 1: Find the prime factorization of 1209

1209 = 3 x 13 x 31

Step 2: Find the prime factorization of 1215

1215 = 3 x 3 x 3 x 3 x 3 x 5

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 1209 and 1215 is 3