Greatest Common Factor of 13226 and 13231

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 13226, 13231 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13226 and 13231 is 1.

GCF(13226,13231) = 1

GCF of 13226 and 13231

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

GCF of:
and

Greatest Common Factor of 13226 and 13231

GCF of 13226 and 13231 is 1

Prime Factorization of 13226


2 13226
17 6613
389 389
1

Prime factors of 13226 are 2,17,389. Prime factorization of 13226 in exponential form is:

13226 = 21×171×3891

Prime Factorization of 13231


101 13231
131 131
1

Prime factors of 13231 are 101,131. Prime factorization of 13231 in exponential form is:

13231 = 1011×1311

∴ So by taking common prime factors GCF of 13226 and 13231 is 1

Greatest Common Factor of 13226 and 13231 by matching factors method

Factors of 13226

List of positive integer factors of 13226 that divides 13226 without a remainder.

1,2,17,34,389,778,6613,13226

Factors of 13231

List of positive integer factors of 13231 that divides 13231 without a remainder.

1,101,131,13231

Greatest Common Factor

We found the factors and prime factorization of 13226 and 13231. The biggest common factor number is the GCF number.
So the greatest common factor 13226 and 13231 is 1.

Also check out the Least Common Multiple of 13226 and 13231

Properties of GCF 13226 and 13231

(i) The GCF of 13226 and 13231 is associative

GCF of 13226 and 13231 = GCF of 13231 and 13226

Related Greatest Common Factor of 13226

Related Greatest Common Factor of 13231

Frequently Asked Questions on GCF of 13226 and 13231

1. What is the GCF of 13226 and 13231?

Answer: GCF of 13226 and 13231 is 1.

2. What are the Factors of 13226?

Answer: Factors of 13226 are 1, 2, 17, 34, 389, 778, 6613, 13226. There are 8 integers that are factors of 13226. The greatest factor of 13226 is 13226.

3. What are the Factors of 13231?

Answer: Factors of 13231 are 1, 101, 131, 13231. There are 4 integers that are factors of 13231. The greatest factor of 13231 is 13231.

4. How to Find the GCF of 13226 and 13231?

Answer:

Greatest Common Factor of 13226 and 13231 = 1

Step 1: Find the prime factorization of 13226

13226 = 2 x 17 x 389

Step 2: Find the prime factorization of 13231

13231 = 101 x 131

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 13226 and 13231 is 1