Greatest Common Factor of 209 and 211

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 209, 211 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 209 and 211 is 1.

GCF(209,211) = 1

GCF of 209 and 211

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

GCF of:
and

Greatest Common Factor of 209 and 211

GCF of 209 and 211 is 1

Prime Factorization of 209


11 209
19 19
1

Prime factors of 209 are 11,19. Prime factorization of 209 in exponential form is:

209 = 111×191

Prime Factorization of 211


211 211
1

Prime factors of 211 are 211. Prime factorization of 211 in exponential form is:

211 = 2111

∴ So by taking common prime factors GCF of 209 and 211 is 1

Greatest Common Factor of 209 and 211 by matching factors method

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Greatest Common Factor

We found the factors and prime factorization of 209 and 211. The biggest common factor number is the GCF number.
So the greatest common factor 209 and 211 is 1.

Also check out the Least Common Multiple of 209 and 211

Properties of GCF 209 and 211

(i) The GCF of 209 and 211 is associative

GCF of 209 and 211 = GCF of 211 and 209

Related Greatest Common Factor of 209

Related Greatest Common Factor of 211

Frequently Asked Questions on GCF of 209 and 211

1. What is the GCF of 209 and 211?

Answer: GCF of 209 and 211 is 1.

2. What are the Factors of 209?

Answer: Factors of 209 are 1, 11, 19, 209. There are 4 integers that are factors of 209. The greatest factor of 209 is 209.

3. What are the Factors of 211?

Answer: Factors of 211 are 1, 211. There are 2 integers that are factors of 211. The greatest factor of 211 is 211.

4. How to Find the GCF of 209 and 211?

Answer:

Greatest Common Factor of 209 and 211 = 1

Step 1: Find the prime factorization of 209

209 = 11 x 19

Step 2: Find the prime factorization of 211

211 = 211

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 209 and 211 is 1