Greatest Common Factor of 1215 and 1219

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 1215, 1219 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1215 and 1219 is 1.

GCF(1215,1219) = 1

GCF of 1215 and 1219

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

GCF of:
and

Greatest Common Factor of 1215 and 1219

GCF of 1215 and 1219 is 1

Prime Factorization of 1215


3 1215
3 405
3 135
3 45
3 15
5 5
1

Prime factors of 1215 are 3,5. Prime factorization of 1215 in exponential form is:

1215 = 35×51

Prime Factorization of 1219


23 1219
53 53
1

Prime factors of 1219 are 23,53. Prime factorization of 1219 in exponential form is:

1219 = 231×531

∴ So by taking common prime factors GCF of 1215 and 1219 is 1

Greatest Common Factor of 1215 and 1219 by matching factors method

Factors of 1215

List of positive integer factors of 1215 that divides 1215 without a remainder.

1,3,5,9,15,27,45,81,135,243,405,1215

Factors of 1219

List of positive integer factors of 1219 that divides 1219 without a remainder.

1,23,53,1219

Greatest Common Factor

We found the factors and prime factorization of 1215 and 1219. The biggest common factor number is the GCF number.
So the greatest common factor 1215 and 1219 is 1.

Also check out the Least Common Multiple of 1215 and 1219

Properties of GCF 1215 and 1219

(i) The GCF of 1215 and 1219 is associative

GCF of 1215 and 1219 = GCF of 1219 and 1215

Related Greatest Common Factor of 1215

Related Greatest Common Factor of 1219

Frequently Asked Questions on GCF of 1215 and 1219

1. What is the GCF of 1215 and 1219?

Answer: GCF of 1215 and 1219 is 1.

2. What are the Factors of 1215?

Answer: Factors of 1215 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 1215. There are 12 integers that are factors of 1215. The greatest factor of 1215 is 1215.

3. What are the Factors of 1219?

Answer: Factors of 1219 are 1, 23, 53, 1219. There are 4 integers that are factors of 1219. The greatest factor of 1219 is 1219.

4. How to Find the GCF of 1215 and 1219?

Answer:

Greatest Common Factor of 1215 and 1219 = 1

Step 1: Find the prime factorization of 1215

1215 = 3 x 3 x 3 x 3 x 3 x 5

Step 2: Find the prime factorization of 1219

1219 = 23 x 53

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 1215 and 1219 is 1