Greatest Common Factor of 5832 and 5838

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 5832, 5838 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5832 and 5838 is 6.

GCF(5832,5838) = 6

GCF of 5832 and 5838

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

GCF of:
and

Greatest Common Factor of 5832 and 5838

GCF of 5832 and 5838 is 6

Prime Factorization of 5832


2 5832
2 2916
2 1458
3 729
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 5832 are 2,3. Prime factorization of 5832 in exponential form is:

5832 = 23×36

Prime Factorization of 5838


2 5838
3 2919
7 973
139 139
1

Prime factors of 5838 are 2,3,7,139. Prime factorization of 5838 in exponential form is:

5838 = 21×31×71×1391

∴ So by taking common prime factors GCF of 5832 and 5838 is 6

Greatest Common Factor of 5832 and 5838 by matching factors method

Factors of 5832

List of positive integer factors of 5832 that divides 5832 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,243,324,486,648,729,972,1458,1944,2916,5832

Factors of 5838

List of positive integer factors of 5838 that divides 5838 without a remainder.

1,2,3,6,7,14,21,42,139,278,417,834,973,1946,2919,5838

Greatest Common Factor

We found the factors and prime factorization of 5832 and 5838. The biggest common factor number is the GCF number.
So the greatest common factor 5832 and 5838 is 6.

Also check out the Least Common Multiple of 5832 and 5838

Properties of GCF 5832 and 5838

(i) The GCF of 5832 and 5838 is associative

GCF of 5832 and 5838 = GCF of 5838 and 5832

Related Greatest Common Factor of 5832

Related Greatest Common Factor of 5838

Frequently Asked Questions on GCF of 5832 and 5838

1. What is the GCF of 5832 and 5838?

Answer: GCF of 5832 and 5838 is 6.

2. What are the Factors of 5832?

Answer: Factors of 5832 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 243, 324, 486, 648, 729, 972, 1458, 1944, 2916, 5832. There are 28 integers that are factors of 5832. The greatest factor of 5832 is 5832.

3. What are the Factors of 5838?

Answer: Factors of 5838 are 1, 2, 3, 6, 7, 14, 21, 42, 139, 278, 417, 834, 973, 1946, 2919, 5838. There are 16 integers that are factors of 5838. The greatest factor of 5838 is 5838.

4. How to Find the GCF of 5832 and 5838?

Answer:

Greatest Common Factor of 5832 and 5838 = 6

Step 1: Find the prime factorization of 5832

5832 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3

Step 2: Find the prime factorization of 5838

5838 = 2 x 3 x 7 x 139

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 5832 and 5838 is 6