Greatest Common Factor of 207 and 210

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, 210 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 207 and 210 is 3.

GCF(207,210) = 3

GCF of 207 and 210

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

GCF of:
and

Greatest Common Factor of 207 and 210

GCF of 207 and 210 is 3

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 210


2 210
3 105
5 35
7 7
1

Prime factors of 210 are 2,3,5,7. Prime factorization of 210 in exponential form is:

210 = 21×31×51×71

∴ So by taking common prime factors GCF of 207 and 210 is 3

Greatest Common Factor of 207 and 210 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 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors and prime factorization of 207 and 210. The biggest common factor number is the GCF number.
So the greatest common factor 207 and 210 is 3.

Also check out the Least Common Multiple of 207 and 210

Properties of GCF 207 and 210

(i) The GCF of 207 and 210 is associative

GCF of 207 and 210 = GCF of 210 and 207

Related Greatest Common Factor of 207

Related Greatest Common Factor of 210

Frequently Asked Questions on GCF of 207 and 210

1. What is the GCF of 207 and 210?

Answer: GCF of 207 and 210 is 3.

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 210?

Answer: Factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210. There are 16 integers that are factors of 210. The greatest factor of 210 is 210.

4. How to Find the GCF of 207 and 210?

Answer:

Greatest Common Factor of 207 and 210 = 3

Step 1: Find the prime factorization of 207

207 = 3 x 3 x 23

Step 2: Find the prime factorization of 210

210 = 2 x 3 x 5 x 7

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 207 and 210 is 3