Greatest Common Factor of 13215 and 13219

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 13215, 13219 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13215 and 13219 is 1.

GCF(13215,13219) = 1

GCF of 13215 and 13219

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

GCF of:
and

Greatest Common Factor of 13215 and 13219

GCF of 13215 and 13219 is 1

Prime Factorization of 13215


3 13215
5 4405
881 881
1

Prime factors of 13215 are 3,5,881. Prime factorization of 13215 in exponential form is:

13215 = 31×51×8811

Prime Factorization of 13219


13219 13219
1

Prime factors of 13219 are 13219. Prime factorization of 13219 in exponential form is:

13219 = 132191

∴ So by taking common prime factors GCF of 13215 and 13219 is 1

Greatest Common Factor of 13215 and 13219 by matching factors method

Factors of 13215

List of positive integer factors of 13215 that divides 13215 without a remainder.

1,3,5,15,881,2643,4405,13215

Factors of 13219

List of positive integer factors of 13219 that divides 13219 without a remainder.

1,13219

Greatest Common Factor

We found the factors and prime factorization of 13215 and 13219. The biggest common factor number is the GCF number.
So the greatest common factor 13215 and 13219 is 1.

Also check out the Least Common Multiple of 13215 and 13219

Properties of GCF 13215 and 13219

(i) The GCF of 13215 and 13219 is associative

GCF of 13215 and 13219 = GCF of 13219 and 13215

Frequently Asked Questions on GCF of 13215 and 13219

1. What is the GCF of 13215 and 13219?

Answer: GCF of 13215 and 13219 is 1.

2. What are the Factors of 13215?

Answer: Factors of 13215 are 1, 3, 5, 15, 881, 2643, 4405, 13215. There are 8 integers that are factors of 13215. The greatest factor of 13215 is 13215.

3. What are the Factors of 13219?

Answer: Factors of 13219 are 1, 13219. There are 2 integers that are factors of 13219. The greatest factor of 13219 is 13219.

4. How to Find the GCF of 13215 and 13219?

Answer:

Greatest Common Factor of 13215 and 13219 = 1

Step 1: Find the prime factorization of 13215

13215 = 3 x 5 x 881

Step 2: Find the prime factorization of 13219

13219 = 13219

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 13215 and 13219 is 1