Greatest Common Factor of 9205 and 9209

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 9205, 9209 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9205 and 9209 is 1.

GCF(9205,9209) = 1

GCF of 9205 and 9209

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

GCF of:
and

Greatest Common Factor of 9205 and 9209

GCF of 9205 and 9209 is 1

Prime Factorization of 9205


5 9205
7 1841
263 263
1

Prime factors of 9205 are 5,7,263. Prime factorization of 9205 in exponential form is:

9205 = 51×71×2631

Prime Factorization of 9209


9209 9209
1

Prime factors of 9209 are 9209. Prime factorization of 9209 in exponential form is:

9209 = 92091

∴ So by taking common prime factors GCF of 9205 and 9209 is 1

Greatest Common Factor of 9205 and 9209 by matching factors method

Factors of 9205

List of positive integer factors of 9205 that divides 9205 without a remainder.

1,5,7,35,263,1315,1841,9205

Factors of 9209

List of positive integer factors of 9209 that divides 9209 without a remainder.

1,9209

Greatest Common Factor

We found the factors and prime factorization of 9205 and 9209. The biggest common factor number is the GCF number.
So the greatest common factor 9205 and 9209 is 1.

Also check out the Least Common Multiple of 9205 and 9209

Properties of GCF 9205 and 9209

(i) The GCF of 9205 and 9209 is associative

GCF of 9205 and 9209 = GCF of 9209 and 9205

Related Greatest Common Factor of 9205

Related Greatest Common Factor of 9209

Frequently Asked Questions on GCF of 9205 and 9209

1. What is the GCF of 9205 and 9209?

Answer: GCF of 9205 and 9209 is 1.

2. What are the Factors of 9205?

Answer: Factors of 9205 are 1, 5, 7, 35, 263, 1315, 1841, 9205. There are 8 integers that are factors of 9205. The greatest factor of 9205 is 9205.

3. What are the Factors of 9209?

Answer: Factors of 9209 are 1, 9209. There are 2 integers that are factors of 9209. The greatest factor of 9209 is 9209.

4. How to Find the GCF of 9205 and 9209?

Answer:

Greatest Common Factor of 9205 and 9209 = 1

Step 1: Find the prime factorization of 9205

9205 = 5 x 7 x 263

Step 2: Find the prime factorization of 9209

9209 = 9209

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 9205 and 9209 is 1