Greatest Common Factor of 13212 and 13215

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 13212, 13215 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13212 and 13215 is 3.

GCF(13212,13215) = 3

GCF of 13212 and 13215

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

GCF of:
and

Greatest Common Factor of 13212 and 13215

GCF of 13212 and 13215 is 3

Prime Factorization of 13212


2 13212
2 6606
3 3303
3 1101
367 367
1

Prime factors of 13212 are 2,3,367. Prime factorization of 13212 in exponential form is:

13212 = 22×32×3671

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

∴ So by taking common prime factors GCF of 13212 and 13215 is 3

Greatest Common Factor of 13212 and 13215 by matching factors method

Factors of 13212

List of positive integer factors of 13212 that divides 13212 without a remainder.

1,2,3,4,6,9,12,18,36,367,734,1101,1468,2202,3303,4404,6606,13212

Factors of 13215

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

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

Greatest Common Factor

We found the factors and prime factorization of 13212 and 13215. The biggest common factor number is the GCF number.
So the greatest common factor 13212 and 13215 is 3.

Also check out the Least Common Multiple of 13212 and 13215

Properties of GCF 13212 and 13215

(i) The GCF of 13212 and 13215 is associative

GCF of 13212 and 13215 = GCF of 13215 and 13212

Related Greatest Common Factor of 13212

Related Greatest Common Factor of 13215

Frequently Asked Questions on GCF of 13212 and 13215

1. What is the GCF of 13212 and 13215?

Answer: GCF of 13212 and 13215 is 3.

2. What are the Factors of 13212?

Answer: Factors of 13212 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 367, 734, 1101, 1468, 2202, 3303, 4404, 6606, 13212. There are 18 integers that are factors of 13212. The greatest factor of 13212 is 13212.

3. 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.

4. How to Find the GCF of 13212 and 13215?

Answer:

Greatest Common Factor of 13212 and 13215 = 3

Step 1: Find the prime factorization of 13212

13212 = 2 x 2 x 3 x 3 x 367

Step 2: Find the prime factorization of 13215

13215 = 3 x 5 x 881

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 13212 and 13215 is 3