Greatest Common Factor of 2209 and 2217

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, 2217 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2209 and 2217 is 1.

GCF(2209,2217) = 1

GCF of 2209 and 2217

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

GCF of:
and

Greatest Common Factor of 2209 and 2217

GCF of 2209 and 2217 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 2217


3 2217
739 739
1

Prime factors of 2217 are 3.Prime factorization of 2217 in exponential form is:

2217 = 31×7391

∴ So by taking common prime factors GCF of 2209 and 2217 is 1

Greatest Common Factor of 2209 and 2217 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 2217

List of positive integer factors of 2217 that divides 2217 without a remainder.

1,3,739,2217

Greatest Common Factor

We found the factors and prime factorization of 2209 and 2217. The biggest common factor number is the GCF number.
So the greatest common factor 2209 and 2217 is 1.

Also check out the Least Common Multiple of 2209 and 2217

Properties of GCF 2209 and 2217

(i) The GCF of 2209 and 2217 is associative

GCF of 2209 and 2217 = GCF of 2217 and 2209

Related Greatest Common Factor of 2209

Related Greatest Common Factor of 2217

Frequently Asked Questions on GCF of 2209 and 2217

1. What is the GCF of 2209 and 2217?

Answer: GCF of 2209 and 2217 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 2217?

Answer: Factors of 2217 are 1, 3, 739, 2217. There are 4 integers that are factors of 2217. The greatest factor of 2217 is 2217.

4. How to Find the GCF of 2209 and 2217?

Answer:

Greatest Common Factor of 2209 and 2217 = 1

Step 1: Find the prime factorization of 2209

2209 = 47 x 47

Step 2: Find the prime factorization of 2217

2217 = 3 x 739

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 2217 is 1