Greatest Common Factor of 10204 and 10209

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 10204, 10209 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10204 and 10209 is 1.

GCF(10204,10209) = 1

GCF of 10204 and 10209

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

GCF of:
and

Greatest Common Factor of 10204 and 10209

GCF of 10204 and 10209 is 1

Prime Factorization of 10204


2 10204
2 5102
2551 2551
1

Prime factors of 10204 are 2,2551. Prime factorization of 10204 in exponential form is:

10204 = 22×25511

Prime Factorization of 10209


3 10209
41 3403
83 83
1

Prime factors of 10209 are 3,41,83. Prime factorization of 10209 in exponential form is:

10209 = 31×411×831

∴ So by taking common prime factors GCF of 10204 and 10209 is 1

Greatest Common Factor of 10204 and 10209 by matching factors method

Factors of 10204

List of positive integer factors of 10204 that divides 10204 without a remainder.

1,2,4,2551,5102,10204

Factors of 10209

List of positive integer factors of 10209 that divides 10209 without a remainder.

1,3,41,83,123,249,3403,10209

Greatest Common Factor

We found the factors and prime factorization of 10204 and 10209. The biggest common factor number is the GCF number.
So the greatest common factor 10204 and 10209 is 1.

Also check out the Least Common Multiple of 10204 and 10209

Properties of GCF 10204 and 10209

(i) The GCF of 10204 and 10209 is associative

GCF of 10204 and 10209 = GCF of 10209 and 10204

Related Greatest Common Factor of 10204

Related Greatest Common Factor of 10209

Frequently Asked Questions on GCF of 10204 and 10209

1. What is the GCF of 10204 and 10209?

Answer: GCF of 10204 and 10209 is 1.

2. What are the Factors of 10204?

Answer: Factors of 10204 are 1, 2, 4, 2551, 5102, 10204. There are 6 integers that are factors of 10204. The greatest factor of 10204 is 10204.

3. What are the Factors of 10209?

Answer: Factors of 10209 are 1, 3, 41, 83, 123, 249, 3403, 10209. There are 8 integers that are factors of 10209. The greatest factor of 10209 is 10209.

4. How to Find the GCF of 10204 and 10209?

Answer:

Greatest Common Factor of 10204 and 10209 = 1

Step 1: Find the prime factorization of 10204

10204 = 2 x 2 x 2551

Step 2: Find the prime factorization of 10209

10209 = 3 x 41 x 83

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 10204 and 10209 is 1