Greatest Common Factor of 13206 and 13214

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 13206, 13214 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13206 and 13214 is 2.

GCF(13206,13214) = 2

GCF of 13206 and 13214

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

GCF of:
and

Greatest Common Factor of 13206 and 13214

GCF of 13206 and 13214 is 2

Prime Factorization of 13206


2 13206
3 6603
31 2201
71 71
1

Prime factors of 13206 are 2,3,31,71. Prime factorization of 13206 in exponential form is:

13206 = 21×31×311×711

Prime Factorization of 13214


2 13214
6607 6607
1

Prime factors of 13214 are 2,6607. Prime factorization of 13214 in exponential form is:

13214 = 21×66071

∴ So by taking common prime factors GCF of 13206 and 13214 is 2

Greatest Common Factor of 13206 and 13214 by matching factors method

Factors of 13206

List of positive integer factors of 13206 that divides 13206 without a remainder.

1,2,3,6,31,62,71,93,142,186,213,426,2201,4402,6603,13206

Factors of 13214

List of positive integer factors of 13214 that divides 13214 without a remainder.

1,2,6607,13214

Greatest Common Factor

We found the factors and prime factorization of 13206 and 13214. The biggest common factor number is the GCF number.
So the greatest common factor 13206 and 13214 is 2.

Also check out the Least Common Multiple of 13206 and 13214

Properties of GCF 13206 and 13214

(i) The GCF of 13206 and 13214 is associative

GCF of 13206 and 13214 = GCF of 13214 and 13206

Related Greatest Common Factor of 13206

Related Greatest Common Factor of 13214

Frequently Asked Questions on GCF of 13206 and 13214

1. What is the GCF of 13206 and 13214?

Answer: GCF of 13206 and 13214 is 2.

2. What are the Factors of 13206?

Answer: Factors of 13206 are 1, 2, 3, 6, 31, 62, 71, 93, 142, 186, 213, 426, 2201, 4402, 6603, 13206. There are 16 integers that are factors of 13206. The greatest factor of 13206 is 13206.

3. What are the Factors of 13214?

Answer: Factors of 13214 are 1, 2, 6607, 13214. There are 4 integers that are factors of 13214. The greatest factor of 13214 is 13214.

4. How to Find the GCF of 13206 and 13214?

Answer:

Greatest Common Factor of 13206 and 13214 = 2

Step 1: Find the prime factorization of 13206

13206 = 2 x 3 x 31 x 71

Step 2: Find the prime factorization of 13214

13214 = 2 x 6607

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

GCF = 2

Step 4: Therefore, the greatest common factor of 13206 and 13214 is 2