Greatest Common Factor of 12833 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 12833, 12838 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12833 and 12838 is 1.

GCF(12833,12838) = 1

GCF of 12833 and 12838

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

GCF of:
and

Greatest Common Factor of 12833 and 12838

GCF of 12833 and 12838 is 1

Prime Factorization of 12833


41 12833
313 313
1

Prime factors of 12833 are 41,313. Prime factorization of 12833 in exponential form is:

12833 = 411×3131

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 12833 and 12838 is 1

Greatest Common Factor of 12833 and 12838 by matching factors method

Factors of 12833

List of positive integer factors of 12833 that divides 12833 without a remainder.

1,41,313,12833

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 12833 and 12838. The biggest common factor number is the GCF number.
So the greatest common factor 12833 and 12838 is 1.

Also check out the Least Common Multiple of 12833 and 12838

Properties of GCF 12833 and 12838

(i) The GCF of 12833 and 12838 is associative

GCF of 12833 and 12838 = GCF of 12838 and 12833

Related Greatest Common Factor of 12833

Related Greatest Common Factor of 12838

Frequently Asked Questions on GCF of 12833 and 12838

1. What is the GCF of 12833 and 12838?

Answer: GCF of 12833 and 12838 is 1.

2. What are the Factors of 12833?

Answer: Factors of 12833 are 1, 41, 313, 12833. There are 4 integers that are factors of 12833. The greatest factor of 12833 is 12833.

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 12833 and 12838?

Answer:

Greatest Common Factor of 12833 and 12838 = 1

Step 1: Find the prime factorization of 12833

12833 = 41 x 313

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 = = 1

Step 4: Therefore, the greatest common factor of 12833 and 12838 is 1