Greatest Common Factor of 17209 and 17213

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 17209, 17213 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17209 and 17213 is 1.

GCF(17209,17213) = 1

GCF of 17209 and 17213

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

GCF of:
and

Greatest Common Factor of 17209 and 17213

GCF of 17209 and 17213 is 1

Prime Factorization of 17209


17209 17209
1

Prime factors of 17209 are 17209. Prime factorization of 17209 in exponential form is:

17209 = 172091

Prime Factorization of 17213


7 17213
2459 2459
1

Prime factors of 17213 are 7.Prime factorization of 17213 in exponential form is:

17213 = 71×24591

∴ So by taking common prime factors GCF of 17209 and 17213 is 1

Greatest Common Factor of 17209 and 17213 by matching factors method

Factors of 17209

List of positive integer factors of 17209 that divides 17209 without a remainder.

1,17209

Factors of 17213

List of positive integer factors of 17213 that divides 17213 without a remainder.

1,7,2459,17213

Greatest Common Factor

We found the factors and prime factorization of 17209 and 17213. The biggest common factor number is the GCF number.
So the greatest common factor 17209 and 17213 is 1.

Also check out the Least Common Multiple of 17209 and 17213

Properties of GCF 17209 and 17213

(i) The GCF of 17209 and 17213 is associative

GCF of 17209 and 17213 = GCF of 17213 and 17209

Related Greatest Common Factor of 17209

Related Greatest Common Factor of 17213

Frequently Asked Questions on GCF of 17209 and 17213

1. What is the GCF of 17209 and 17213?

Answer: GCF of 17209 and 17213 is 1.

2. What are the Factors of 17209?

Answer: Factors of 17209 are 1, 17209. There are 2 integers that are factors of 17209. The greatest factor of 17209 is 17209.

3. What are the Factors of 17213?

Answer: Factors of 17213 are 1, 7, 2459, 17213. There are 4 integers that are factors of 17213. The greatest factor of 17213 is 17213.

4. How to Find the GCF of 17209 and 17213?

Answer:

Greatest Common Factor of 17209 and 17213 = 1

Step 1: Find the prime factorization of 17209

17209 = 17209

Step 2: Find the prime factorization of 17213

17213 = 7 x 2459

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 17209 and 17213 is 1