Greatest Common Factor of 5834 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 5834, 5840 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5834 and 5840 is 2.

GCF(5834,5840) = 2

GCF of 5834 and 5840

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

GCF of:
and

Greatest Common Factor of 5834 and 5840

GCF of 5834 and 5840 is 2

Prime Factorization of 5834


2 5834
2917 2917
1

Prime factors of 5834 are 2,2917. Prime factorization of 5834 in exponential form is:

5834 = 21×29171

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 5834 and 5840 is 2

Greatest Common Factor of 5834 and 5840 by matching factors method

Factors of 5834

List of positive integer factors of 5834 that divides 5834 without a remainder.

1,2,2917,5834

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 5834 and 5840. The biggest common factor number is the GCF number.
So the greatest common factor 5834 and 5840 is 2.

Also check out the Least Common Multiple of 5834 and 5840

Properties of GCF 5834 and 5840

(i) The GCF of 5834 and 5840 is associative

GCF of 5834 and 5840 = GCF of 5840 and 5834

Related Greatest Common Factor of 5834

Related Greatest Common Factor of 5840

Frequently Asked Questions on GCF of 5834 and 5840

1. What is the GCF of 5834 and 5840?

Answer: GCF of 5834 and 5840 is 2.

2. What are the Factors of 5834?

Answer: Factors of 5834 are 1, 2, 2917, 5834. There are 4 integers that are factors of 5834. The greatest factor of 5834 is 5834.

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 5834 and 5840?

Answer:

Greatest Common Factor of 5834 and 5840 = 2

Step 1: Find the prime factorization of 5834

5834 = 2 x 2917

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 5834 and 5840 is 2