Greatest Common Factor of 13214 and 13222

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 13214, 13222 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13214 and 13222 is 2.

GCF(13214,13222) = 2

GCF of 13214 and 13222

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

GCF of:
and

Greatest Common Factor of 13214 and 13222

GCF of 13214 and 13222 is 2

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

Prime Factorization of 13222


2 13222
11 6611
601 601
1

Prime factors of 13222 are 2,11,601. Prime factorization of 13222 in exponential form is:

13222 = 21×111×6011

∴ So by taking common prime factors GCF of 13214 and 13222 is 2

Greatest Common Factor of 13214 and 13222 by matching factors method

Factors of 13214

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

1,2,6607,13214

Factors of 13222

List of positive integer factors of 13222 that divides 13222 without a remainder.

1,2,11,22,601,1202,6611,13222

Greatest Common Factor

We found the factors and prime factorization of 13214 and 13222. The biggest common factor number is the GCF number.
So the greatest common factor 13214 and 13222 is 2.

Also check out the Least Common Multiple of 13214 and 13222

Properties of GCF 13214 and 13222

(i) The GCF of 13214 and 13222 is associative

GCF of 13214 and 13222 = GCF of 13222 and 13214

Related Greatest Common Factor of 13214

Related Greatest Common Factor of 13222

Frequently Asked Questions on GCF of 13214 and 13222

1. What is the GCF of 13214 and 13222?

Answer: GCF of 13214 and 13222 is 2.

2. 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.

3. What are the Factors of 13222?

Answer: Factors of 13222 are 1, 2, 11, 22, 601, 1202, 6611, 13222. There are 8 integers that are factors of 13222. The greatest factor of 13222 is 13222.

4. How to Find the GCF of 13214 and 13222?

Answer:

Greatest Common Factor of 13214 and 13222 = 2

Step 1: Find the prime factorization of 13214

13214 = 2 x 6607

Step 2: Find the prime factorization of 13222

13222 = 2 x 11 x 601

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 13214 and 13222 is 2