Greatest Common Factor of 13231 and 13237

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 13231, 13237 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13231 and 13237 is 1.

GCF(13231,13237) = 1

GCF of 13231 and 13237

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

GCF of:
and

Greatest Common Factor of 13231 and 13237

GCF of 13231 and 13237 is 1

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

Prime Factorization of 13237


7 13237
31 1891
61 61
1

Prime factors of 13237 are 7,31,61. Prime factorization of 13237 in exponential form is:

13237 = 71×311×611

∴ So by taking common prime factors GCF of 13231 and 13237 is 1

Greatest Common Factor of 13231 and 13237 by matching factors method

Factors of 13231

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

1,101,131,13231

Factors of 13237

List of positive integer factors of 13237 that divides 13237 without a remainder.

1,7,31,61,217,427,1891,13237

Greatest Common Factor

We found the factors and prime factorization of 13231 and 13237. The biggest common factor number is the GCF number.
So the greatest common factor 13231 and 13237 is 1.

Also check out the Least Common Multiple of 13231 and 13237

Properties of GCF 13231 and 13237

(i) The GCF of 13231 and 13237 is associative

GCF of 13231 and 13237 = GCF of 13237 and 13231

Related Greatest Common Factor of 13231

Related Greatest Common Factor of 13237

Frequently Asked Questions on GCF of 13231 and 13237

1. What is the GCF of 13231 and 13237?

Answer: GCF of 13231 and 13237 is 1.

2. 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.

3. What are the Factors of 13237?

Answer: Factors of 13237 are 1, 7, 31, 61, 217, 427, 1891, 13237. There are 8 integers that are factors of 13237. The greatest factor of 13237 is 13237.

4. How to Find the GCF of 13231 and 13237?

Answer:

Greatest Common Factor of 13231 and 13237 = 1

Step 1: Find the prime factorization of 13231

13231 = 101 x 131

Step 2: Find the prime factorization of 13237

13237 = 7 x 31 x 61

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 13231 and 13237 is 1