Greatest Common Factor of 13214 and 13221

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, 13221 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13214 and 13221 is 1.

GCF(13214,13221) = 1

GCF of 13214 and 13221

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

GCF of:
and

Greatest Common Factor of 13214 and 13221

GCF of 13214 and 13221 is 1

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 13221


3 13221
3 4407
13 1469
113 113
1

Prime factors of 13221 are 3,13,113. Prime factorization of 13221 in exponential form is:

13221 = 32×131×1131

∴ So by taking common prime factors GCF of 13214 and 13221 is 1

Greatest Common Factor of 13214 and 13221 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 13221

List of positive integer factors of 13221 that divides 13221 without a remainder.

1,3,9,13,39,113,117,339,1017,1469,4407,13221

Greatest Common Factor

We found the factors and prime factorization of 13214 and 13221. The biggest common factor number is the GCF number.
So the greatest common factor 13214 and 13221 is 1.

Also check out the Least Common Multiple of 13214 and 13221

Properties of GCF 13214 and 13221

(i) The GCF of 13214 and 13221 is associative

GCF of 13214 and 13221 = GCF of 13221 and 13214

Related Greatest Common Factor of 13214

Related Greatest Common Factor of 13221

Frequently Asked Questions on GCF of 13214 and 13221

1. What is the GCF of 13214 and 13221?

Answer: GCF of 13214 and 13221 is 1.

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 13221?

Answer: Factors of 13221 are 1, 3, 9, 13, 39, 113, 117, 339, 1017, 1469, 4407, 13221. There are 12 integers that are factors of 13221. The greatest factor of 13221 is 13221.

4. How to Find the GCF of 13214 and 13221?

Answer:

Greatest Common Factor of 13214 and 13221 = 1

Step 1: Find the prime factorization of 13214

13214 = 2 x 6607

Step 2: Find the prime factorization of 13221

13221 = 3 x 3 x 13 x 113

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 13214 and 13221 is 1