Greatest Common Factor of 1205 and 1209

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 1205, 1209 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1205 and 1209 is 1.

GCF(1205,1209) = 1

GCF of 1205 and 1209

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

GCF of:
and

Greatest Common Factor of 1205 and 1209

GCF of 1205 and 1209 is 1

Prime Factorization of 1205


5 1205
241 241
1

Prime factors of 1205 are 5,241. Prime factorization of 1205 in exponential form is:

1205 = 51×2411

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

∴ So by taking common prime factors GCF of 1205 and 1209 is 1

Greatest Common Factor of 1205 and 1209 by matching factors method

Factors of 1205

List of positive integer factors of 1205 that divides 1205 without a remainder.

1,5,241,1205

Factors of 1209

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

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

Greatest Common Factor

We found the factors and prime factorization of 1205 and 1209. The biggest common factor number is the GCF number.
So the greatest common factor 1205 and 1209 is 1.

Also check out the Least Common Multiple of 1205 and 1209

Properties of GCF 1205 and 1209

(i) The GCF of 1205 and 1209 is associative

GCF of 1205 and 1209 = GCF of 1209 and 1205

Related Greatest Common Factor of 1205

Related Greatest Common Factor of 1209

Frequently Asked Questions on GCF of 1205 and 1209

1. What is the GCF of 1205 and 1209?

Answer: GCF of 1205 and 1209 is 1.

2. What are the Factors of 1205?

Answer: Factors of 1205 are 1, 5, 241, 1205. There are 4 integers that are factors of 1205. The greatest factor of 1205 is 1205.

3. 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.

4. How to Find the GCF of 1205 and 1209?

Answer:

Greatest Common Factor of 1205 and 1209 = 1

Step 1: Find the prime factorization of 1205

1205 = 5 x 241

Step 2: Find the prime factorization of 1209

1209 = 3 x 13 x 31

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 1205 and 1209 is 1