Greatest Common Factor of 5838 and 5845

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 5838, 5845 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5838 and 5845 is 7.

GCF(5838,5845) = 7

GCF of 5838 and 5845

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

GCF of:
and

Greatest Common Factor of 5838 and 5845

GCF of 5838 and 5845 is 7

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

Prime Factorization of 5845


5 5845
7 1169
167 167
1

Prime factors of 5845 are 5,7,167. Prime factorization of 5845 in exponential form is:

5845 = 51×71×1671

∴ So by taking common prime factors GCF of 5838 and 5845 is 7

Greatest Common Factor of 5838 and 5845 by matching factors method

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

Factors of 5845

List of positive integer factors of 5845 that divides 5845 without a remainder.

1,5,7,35,167,835,1169,5845

Greatest Common Factor

We found the factors and prime factorization of 5838 and 5845. The biggest common factor number is the GCF number.
So the greatest common factor 5838 and 5845 is 7.

Also check out the Least Common Multiple of 5838 and 5845

Properties of GCF 5838 and 5845

(i) The GCF of 5838 and 5845 is associative

GCF of 5838 and 5845 = GCF of 5845 and 5838

Related Greatest Common Factor of 5838

Related Greatest Common Factor of 5845

Frequently Asked Questions on GCF of 5838 and 5845

1. What is the GCF of 5838 and 5845?

Answer: GCF of 5838 and 5845 is 7.

2. 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.

3. What are the Factors of 5845?

Answer: Factors of 5845 are 1, 5, 7, 35, 167, 835, 1169, 5845. There are 8 integers that are factors of 5845. The greatest factor of 5845 is 5845.

4. How to Find the GCF of 5838 and 5845?

Answer:

Greatest Common Factor of 5838 and 5845 = 7

Step 1: Find the prime factorization of 5838

5838 = 2 x 3 x 7 x 139

Step 2: Find the prime factorization of 5845

5845 = 5 x 7 x 167

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 5838 and 5845 is 7