Greatest Common Factor of 1209 and 1213

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, 1213 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1209 and 1213 is 1.

GCF(1209,1213) = 1

GCF of 1209 and 1213

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

GCF of:
and

Greatest Common Factor of 1209 and 1213

GCF of 1209 and 1213 is 1

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 1213


1213 1213
1

Prime factors of 1213 are 1213. Prime factorization of 1213 in exponential form is:

1213 = 12131

∴ So by taking common prime factors GCF of 1209 and 1213 is 1

Greatest Common Factor of 1209 and 1213 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 1213

List of positive integer factors of 1213 that divides 1213 without a remainder.

1,1213

Greatest Common Factor

We found the factors and prime factorization of 1209 and 1213. The biggest common factor number is the GCF number.
So the greatest common factor 1209 and 1213 is 1.

Also check out the Least Common Multiple of 1209 and 1213

Properties of GCF 1209 and 1213

(i) The GCF of 1209 and 1213 is associative

GCF of 1209 and 1213 = GCF of 1213 and 1209

Related Greatest Common Factor of 1209

Related Greatest Common Factor of 1213

Frequently Asked Questions on GCF of 1209 and 1213

1. What is the GCF of 1209 and 1213?

Answer: GCF of 1209 and 1213 is 1.

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 1213?

Answer: Factors of 1213 are 1, 1213. There are 2 integers that are factors of 1213. The greatest factor of 1213 is 1213.

4. How to Find the GCF of 1209 and 1213?

Answer:

Greatest Common Factor of 1209 and 1213 = 1

Step 1: Find the prime factorization of 1209

1209 = 3 x 13 x 31

Step 2: Find the prime factorization of 1213

1213 = 1213

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 1209 and 1213 is 1