Greatest Common Factor of 35205 and 35209

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 35205, 35209 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 35205 and 35209 is 1.

GCF(35205,35209) = 1

GCF of 35205 and 35209

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

GCF of:
and

Greatest Common Factor of 35205 and 35209

GCF of 35205 and 35209 is 1

Prime Factorization of 35205


3 35205
5 11735
2347 2347
1

Prime factors of 35205 are 3,5,2347. Prime factorization of 35205 in exponential form is:

35205 = 31×51×23471

Prime Factorization of 35209


137 35209
257 257
1

Prime factors of 35209 are 137,257. Prime factorization of 35209 in exponential form is:

35209 = 1371×2571

∴ So by taking common prime factors GCF of 35205 and 35209 is 1

Greatest Common Factor of 35205 and 35209 by matching factors method

Factors of 35205

List of positive integer factors of 35205 that divides 35205 without a remainder.

1,3,5,15,2347,7041,11735,35205

Factors of 35209

List of positive integer factors of 35209 that divides 35209 without a remainder.

1,137,257,35209

Greatest Common Factor

We found the factors and prime factorization of 35205 and 35209. The biggest common factor number is the GCF number.
So the greatest common factor 35205 and 35209 is 1.

Also check out the Least Common Multiple of 35205 and 35209

Properties of GCF 35205 and 35209

(i) The GCF of 35205 and 35209 is associative

GCF of 35205 and 35209 = GCF of 35209 and 35205

Related Greatest Common Factor of 35205

Related Greatest Common Factor of 35209

Frequently Asked Questions on GCF of 35205 and 35209

1. What is the GCF of 35205 and 35209?

Answer: GCF of 35205 and 35209 is 1.

2. What are the Factors of 35205?

Answer: Factors of 35205 are 1, 3, 5, 15, 2347, 7041, 11735, 35205. There are 8 integers that are factors of 35205. The greatest factor of 35205 is 35205.

3. What are the Factors of 35209?

Answer: Factors of 35209 are 1, 137, 257, 35209. There are 4 integers that are factors of 35209. The greatest factor of 35209 is 35209.

4. How to Find the GCF of 35205 and 35209?

Answer:

Greatest Common Factor of 35205 and 35209 = 1

Step 1: Find the prime factorization of 35205

35205 = 3 x 5 x 2347

Step 2: Find the prime factorization of 35209

35209 = 137 x 257

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 35205 and 35209 is 1