Greatest Common Factor of 4204 and 4209

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 4204, 4209 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4204 and 4209 is 1.

GCF(4204,4209) = 1

GCF of 4204 and 4209

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

GCF of:
and

Greatest Common Factor of 4204 and 4209

GCF of 4204 and 4209 is 1

Prime Factorization of 4204


2 4204
2 2102
1051 1051
1

Prime factors of 4204 are 2,1051. Prime factorization of 4204 in exponential form is:

4204 = 22×10511

Prime Factorization of 4209


3 4209
23 1403
61 61
1

Prime factors of 4209 are 3,23,61. Prime factorization of 4209 in exponential form is:

4209 = 31×231×611

∴ So by taking common prime factors GCF of 4204 and 4209 is 1

Greatest Common Factor of 4204 and 4209 by matching factors method

Factors of 4204

List of positive integer factors of 4204 that divides 4204 without a remainder.

1,2,4,1051,2102,4204

Factors of 4209

List of positive integer factors of 4209 that divides 4209 without a remainder.

1,3,23,61,69,183,1403,4209

Greatest Common Factor

We found the factors and prime factorization of 4204 and 4209. The biggest common factor number is the GCF number.
So the greatest common factor 4204 and 4209 is 1.

Also check out the Least Common Multiple of 4204 and 4209

Properties of GCF 4204 and 4209

(i) The GCF of 4204 and 4209 is associative

GCF of 4204 and 4209 = GCF of 4209 and 4204

Related Greatest Common Factor of 4204

Related Greatest Common Factor of 4209

Frequently Asked Questions on GCF of 4204 and 4209

1. What is the GCF of 4204 and 4209?

Answer: GCF of 4204 and 4209 is 1.

2. What are the Factors of 4204?

Answer: Factors of 4204 are 1, 2, 4, 1051, 2102, 4204. There are 6 integers that are factors of 4204. The greatest factor of 4204 is 4204.

3. What are the Factors of 4209?

Answer: Factors of 4209 are 1, 3, 23, 61, 69, 183, 1403, 4209. There are 8 integers that are factors of 4209. The greatest factor of 4209 is 4209.

4. How to Find the GCF of 4204 and 4209?

Answer:

Greatest Common Factor of 4204 and 4209 = 1

Step 1: Find the prime factorization of 4204

4204 = 2 x 2 x 1051

Step 2: Find the prime factorization of 4209

4209 = 3 x 23 x 61

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 4204 and 4209 is 1