Greatest Common Factor of 1215 and 1221

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, 1221 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1215 and 1221 is 3.

GCF(1215,1221) = 3

GCF of 1215 and 1221

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

GCF of:
and

Greatest Common Factor of 1215 and 1221

GCF of 1215 and 1221 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 1221


3 1221
11 407
37 37
1

Prime factors of 1221 are 3,11,37. Prime factorization of 1221 in exponential form is:

1221 = 31×111×371

∴ So by taking common prime factors GCF of 1215 and 1221 is 3

Greatest Common Factor of 1215 and 1221 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 1221

List of positive integer factors of 1221 that divides 1221 without a remainder.

1,3,11,33,37,111,407,1221

Greatest Common Factor

We found the factors and prime factorization of 1215 and 1221. The biggest common factor number is the GCF number.
So the greatest common factor 1215 and 1221 is 3.

Also check out the Least Common Multiple of 1215 and 1221

Properties of GCF 1215 and 1221

(i) The GCF of 1215 and 1221 is associative

GCF of 1215 and 1221 = GCF of 1221 and 1215

Related Greatest Common Factor of 1215

Related Greatest Common Factor of 1221

Frequently Asked Questions on GCF of 1215 and 1221

1. What is the GCF of 1215 and 1221?

Answer: GCF of 1215 and 1221 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 1221?

Answer: Factors of 1221 are 1, 3, 11, 33, 37, 111, 407, 1221. There are 8 integers that are factors of 1221. The greatest factor of 1221 is 1221.

4. How to Find the GCF of 1215 and 1221?

Answer:

Greatest Common Factor of 1215 and 1221 = 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 1221

1221 = 3 x 11 x 37

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 1221 is 3