Greatest Common Factor of 207 and 209

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 207, 209 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 207 and 209 is 1.

GCF(207,209) = 1

GCF of 207 and 209

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

GCF of:
and

Greatest Common Factor of 207 and 209

GCF of 207 and 209 is 1

Prime Factorization of 207


3 207
3 69
23 23
1

Prime factors of 207 are 3,23. Prime factorization of 207 in exponential form is:

207 = 32×231

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

∴ So by taking common prime factors GCF of 207 and 209 is 1

Greatest Common Factor of 207 and 209 by matching factors method

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Factors of 209

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

1,11,19,209

Greatest Common Factor

We found the factors and prime factorization of 207 and 209. The biggest common factor number is the GCF number.
So the greatest common factor 207 and 209 is 1.

Also check out the Least Common Multiple of 207 and 209

Properties of GCF 207 and 209

(i) The GCF of 207 and 209 is associative

GCF of 207 and 209 = GCF of 209 and 207

Related Greatest Common Factor of 207

Related Greatest Common Factor of 209

Frequently Asked Questions on GCF of 207 and 209

1. What is the GCF of 207 and 209?

Answer: GCF of 207 and 209 is 1.

2. What are the Factors of 207?

Answer: Factors of 207 are 1, 3, 9, 23, 69, 207. There are 6 integers that are factors of 207. The greatest factor of 207 is 207.

3. 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.

4. How to Find the GCF of 207 and 209?

Answer:

Greatest Common Factor of 207 and 209 = 1

Step 1: Find the prime factorization of 207

207 = 3 x 3 x 23

Step 2: Find the prime factorization of 209

209 = 11 x 19

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 207 and 209 is 1