Greatest Common Factor of 15209 and 15213

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 15209, 15213 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15209 and 15213 is 1.

GCF(15209,15213) = 1

GCF of 15209 and 15213

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

GCF of:
and

Greatest Common Factor of 15209 and 15213

GCF of 15209 and 15213 is 1

Prime Factorization of 15209


67 15209
227 227
1

Prime factors of 15209 are 67,227. Prime factorization of 15209 in exponential form is:

15209 = 671×2271

Prime Factorization of 15213


3 15213
11 5071
461 461
1

Prime factors of 15213 are 3,11,461. Prime factorization of 15213 in exponential form is:

15213 = 31×111×4611

∴ So by taking common prime factors GCF of 15209 and 15213 is 1

Greatest Common Factor of 15209 and 15213 by matching factors method

Factors of 15209

List of positive integer factors of 15209 that divides 15209 without a remainder.

1,67,227,15209

Factors of 15213

List of positive integer factors of 15213 that divides 15213 without a remainder.

1,3,11,33,461,1383,5071,15213

Greatest Common Factor

We found the factors and prime factorization of 15209 and 15213. The biggest common factor number is the GCF number.
So the greatest common factor 15209 and 15213 is 1.

Also check out the Least Common Multiple of 15209 and 15213

Properties of GCF 15209 and 15213

(i) The GCF of 15209 and 15213 is associative

GCF of 15209 and 15213 = GCF of 15213 and 15209

Related Greatest Common Factor of 15209

Related Greatest Common Factor of 15213

Frequently Asked Questions on GCF of 15209 and 15213

1. What is the GCF of 15209 and 15213?

Answer: GCF of 15209 and 15213 is 1.

2. What are the Factors of 15209?

Answer: Factors of 15209 are 1, 67, 227, 15209. There are 4 integers that are factors of 15209. The greatest factor of 15209 is 15209.

3. What are the Factors of 15213?

Answer: Factors of 15213 are 1, 3, 11, 33, 461, 1383, 5071, 15213. There are 8 integers that are factors of 15213. The greatest factor of 15213 is 15213.

4. How to Find the GCF of 15209 and 15213?

Answer:

Greatest Common Factor of 15209 and 15213 = 1

Step 1: Find the prime factorization of 15209

15209 = 67 x 227

Step 2: Find the prime factorization of 15213

15213 = 3 x 11 x 461

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 15209 and 15213 is 1