Greatest Common Factor of 2209 and 2213

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 2209, 2213 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2209 and 2213 is 1.

GCF(2209,2213) = 1

GCF of 2209 and 2213

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

GCF of:
and

Greatest Common Factor of 2209 and 2213

GCF of 2209 and 2213 is 1

Prime Factorization of 2209


47 2209
47 47
1

Prime factors of 2209 are 47. Prime factorization of 2209 in exponential form is:

2209 = 472

Prime Factorization of 2213


2213 2213
1

Prime factors of 2213 are 2213.Prime factorization of 2213 in exponential form is:

2213 = 22131

∴ So by taking common prime factors GCF of 2209 and 2213 is 1

Greatest Common Factor of 2209 and 2213 by matching factors method

Factors of 2209

List of positive integer factors of 2209 that divides 2209 without a remainder.

1,47,2209

Factors of 2213

List of positive integer factors of 2213 that divides 2213 without a remainder.

1,2213

Greatest Common Factor

We found the factors and prime factorization of 2209 and 2213. The biggest common factor number is the GCF number.
So the greatest common factor 2209 and 2213 is 1.

Also check out the Least Common Multiple of 2209 and 2213

Properties of GCF 2209 and 2213

(i) The GCF of 2209 and 2213 is associative

GCF of 2209 and 2213 = GCF of 2213 and 2209

Related Greatest Common Factor of 2209

Related Greatest Common Factor of 2213

Frequently Asked Questions on GCF of 2209 and 2213

1. What is the GCF of 2209 and 2213?

Answer: GCF of 2209 and 2213 is 1.

2. What are the Factors of 2209?

Answer: Factors of 2209 are 1, 47, 2209. There are 3 integers that are factors of 2209. The greatest factor of 2209 is 2209.

3. What are the Factors of 2213?

Answer: Factors of 2213 are 1, 2213. There are 2 integers that are factors of 2213. The greatest factor of 2213 is 2213.

4. How to Find the GCF of 2209 and 2213?

Answer:

Greatest Common Factor of 2209 and 2213 = 1

Step 1: Find the prime factorization of 2209

2209 = 47 x 47

Step 2: Find the prime factorization of 2213

2213 = 2213

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 2209 and 2213 is 1