Greatest Common Factor of 14205 and 14209

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 14205, 14209 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 14205 and 14209 is 1.

GCF(14205,14209) = 1

GCF of 14205 and 14209

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

GCF of:
and

Greatest Common Factor of 14205 and 14209

GCF of 14205 and 14209 is 1

Prime Factorization of 14205


3 14205
5 4735
947 947
1

Prime factors of 14205 are 3,5,947. Prime factorization of 14205 in exponential form is:

14205 = 31×51×9471

Prime Factorization of 14209


13 14209
1093 1093
1

Prime factors of 14209 are 13,1093. Prime factorization of 14209 in exponential form is:

14209 = 131×10931

∴ So by taking common prime factors GCF of 14205 and 14209 is 1

Greatest Common Factor of 14205 and 14209 by matching factors method

Factors of 14205

List of positive integer factors of 14205 that divides 14205 without a remainder.

1,3,5,15,947,2841,4735,14205

Factors of 14209

List of positive integer factors of 14209 that divides 14209 without a remainder.

1,13,1093,14209

Greatest Common Factor

We found the factors and prime factorization of 14205 and 14209. The biggest common factor number is the GCF number.
So the greatest common factor 14205 and 14209 is 1.

Also check out the Least Common Multiple of 14205 and 14209

Properties of GCF 14205 and 14209

(i) The GCF of 14205 and 14209 is associative

GCF of 14205 and 14209 = GCF of 14209 and 14205

Related Greatest Common Factor of 14205

Related Greatest Common Factor of 14209

Frequently Asked Questions on GCF of 14205 and 14209

1. What is the GCF of 14205 and 14209?

Answer: GCF of 14205 and 14209 is 1.

2. What are the Factors of 14205?

Answer: Factors of 14205 are 1, 3, 5, 15, 947, 2841, 4735, 14205. There are 8 integers that are factors of 14205. The greatest factor of 14205 is 14205.

3. What are the Factors of 14209?

Answer: Factors of 14209 are 1, 13, 1093, 14209. There are 4 integers that are factors of 14209. The greatest factor of 14209 is 14209.

4. How to Find the GCF of 14205 and 14209?

Answer:

Greatest Common Factor of 14205 and 14209 = 1

Step 1: Find the prime factorization of 14205

14205 = 3 x 5 x 947

Step 2: Find the prime factorization of 14209

14209 = 13 x 1093

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 14205 and 14209 is 1