Greatest Common Factor of 1215 and 1218

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, 1218 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1215 and 1218 is 3.

GCF(1215,1218) = 3

GCF of 1215 and 1218

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

GCF of:
and

Greatest Common Factor of 1215 and 1218

GCF of 1215 and 1218 is 3

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 1218


2 1218
3 609
7 203
29 29
1

Prime factors of 1218 are 2,3,7,29. Prime factorization of 1218 in exponential form is:

1218 = 21×31×71×291

∴ So by taking common prime factors GCF of 1215 and 1218 is 3

Greatest Common Factor of 1215 and 1218 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 1218

List of positive integer factors of 1218 that divides 1218 without a remainder.

1,2,3,6,7,14,21,29,42,58,87,174,203,406,609,1218

Greatest Common Factor

We found the factors and prime factorization of 1215 and 1218. The biggest common factor number is the GCF number.
So the greatest common factor 1215 and 1218 is 3.

Also check out the Least Common Multiple of 1215 and 1218

Properties of GCF 1215 and 1218

(i) The GCF of 1215 and 1218 is associative

GCF of 1215 and 1218 = GCF of 1218 and 1215

Related Greatest Common Factor of 1215

Related Greatest Common Factor of 1218

Frequently Asked Questions on GCF of 1215 and 1218

1. What is the GCF of 1215 and 1218?

Answer: GCF of 1215 and 1218 is 3.

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 1218?

Answer: Factors of 1218 are 1, 2, 3, 6, 7, 14, 21, 29, 42, 58, 87, 174, 203, 406, 609, 1218. There are 16 integers that are factors of 1218. The greatest factor of 1218 is 1218.

4. How to Find the GCF of 1215 and 1218?

Answer:

Greatest Common Factor of 1215 and 1218 = 3

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 1218

1218 = 2 x 3 x 7 x 29

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 1215 and 1218 is 3