Greatest Common Factor of 5838 and 5840

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, 5840 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5838 and 5840 is 2.

GCF(5838,5840) = 2

GCF of 5838 and 5840

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

GCF of:
and

Greatest Common Factor of 5838 and 5840

GCF of 5838 and 5840 is 2

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 5840


2 5840
2 2920
2 1460
2 730
5 365
73 73
1

Prime factors of 5840 are 2,5,73. Prime factorization of 5840 in exponential form is:

5840 = 24×51×731

∴ So by taking common prime factors GCF of 5838 and 5840 is 2

Greatest Common Factor of 5838 and 5840 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 5840

List of positive integer factors of 5840 that divides 5840 without a remainder.

1,2,4,5,8,10,16,20,40,73,80,146,292,365,584,730,1168,1460,2920,5840

Greatest Common Factor

We found the factors and prime factorization of 5838 and 5840. The biggest common factor number is the GCF number.
So the greatest common factor 5838 and 5840 is 2.

Also check out the Least Common Multiple of 5838 and 5840

Properties of GCF 5838 and 5840

(i) The GCF of 5838 and 5840 is associative

GCF of 5838 and 5840 = GCF of 5840 and 5838

Related Greatest Common Factor of 5838

Related Greatest Common Factor of 5840

Frequently Asked Questions on GCF of 5838 and 5840

1. What is the GCF of 5838 and 5840?

Answer: GCF of 5838 and 5840 is 2.

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 5840?

Answer: Factors of 5840 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 73, 80, 146, 292, 365, 584, 730, 1168, 1460, 2920, 5840. There are 20 integers that are factors of 5840. The greatest factor of 5840 is 5840.

4. How to Find the GCF of 5838 and 5840?

Answer:

Greatest Common Factor of 5838 and 5840 = 2

Step 1: Find the prime factorization of 5838

5838 = 2 x 3 x 7 x 139

Step 2: Find the prime factorization of 5840

5840 = 2 x 2 x 2 x 2 x 5 x 73

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

GCF = 2

Step 4: Therefore, the greatest common factor of 5838 and 5840 is 2