Greatest Common Factor of 12831 and 12838

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 12831, 12838 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12831 and 12838 is 7.

GCF(12831,12838) = 7

GCF of 12831 and 12838

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

GCF of:
and

Greatest Common Factor of 12831 and 12838

GCF of 12831 and 12838 is 7

Prime Factorization of 12831


3 12831
7 4277
13 611
47 47
1

Prime factors of 12831 are 3,7,13,47. Prime factorization of 12831 in exponential form is:

12831 = 31×71×131×471

Prime Factorization of 12838


2 12838
7 6419
7 917
131 131
1

Prime factors of 12838 are 2,7,131. Prime factorization of 12838 in exponential form is:

12838 = 21×72×1311

∴ So by taking common prime factors GCF of 12831 and 12838 is 7

Greatest Common Factor of 12831 and 12838 by matching factors method

Factors of 12831

List of positive integer factors of 12831 that divides 12831 without a remainder.

1,3,7,13,21,39,47,91,141,273,329,611,987,1833,4277,12831

Factors of 12838

List of positive integer factors of 12838 that divides 12838 without a remainder.

1,2,7,14,49,98,131,262,917,1834,6419,12838

Greatest Common Factor

We found the factors and prime factorization of 12831 and 12838. The biggest common factor number is the GCF number.
So the greatest common factor 12831 and 12838 is 7.

Also check out the Least Common Multiple of 12831 and 12838

Properties of GCF 12831 and 12838

(i) The GCF of 12831 and 12838 is associative

GCF of 12831 and 12838 = GCF of 12838 and 12831

Related Greatest Common Factor of 12831

Related Greatest Common Factor of 12838

Frequently Asked Questions on GCF of 12831 and 12838

1. What is the GCF of 12831 and 12838?

Answer: GCF of 12831 and 12838 is 7.

2. What are the Factors of 12831?

Answer: Factors of 12831 are 1, 3, 7, 13, 21, 39, 47, 91, 141, 273, 329, 611, 987, 1833, 4277, 12831. There are 16 integers that are factors of 12831. The greatest factor of 12831 is 12831.

3. What are the Factors of 12838?

Answer: Factors of 12838 are 1, 2, 7, 14, 49, 98, 131, 262, 917, 1834, 6419, 12838. There are 12 integers that are factors of 12838. The greatest factor of 12838 is 12838.

4. How to Find the GCF of 12831 and 12838?

Answer:

Greatest Common Factor of 12831 and 12838 = 7

Step 1: Find the prime factorization of 12831

12831 = 3 x 7 x 13 x 47

Step 2: Find the prime factorization of 12838

12838 = 2 x 7 x 7 x 131

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

GCF = 7

Step 4: Therefore, the greatest common factor of 12831 and 12838 is 7