Greatest Common Factor of 5840 and 5844

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 5840, 5844 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5840 and 5844 is 4.

GCF(5840,5844) = 4

GCF of 5840 and 5844

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

GCF of:
and

Greatest Common Factor of 5840 and 5844

GCF of 5840 and 5844 is 4

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

Prime Factorization of 5844


2 5844
2 2922
3 1461
487 487
1

Prime factors of 5844 are 2,3,487. Prime factorization of 5844 in exponential form is:

5844 = 22×31×4871

∴ So by taking common prime factors GCF of 5840 and 5844 is 4

Greatest Common Factor of 5840 and 5844 by matching factors method

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

Factors of 5844

List of positive integer factors of 5844 that divides 5844 without a remainder.

1,2,3,4,6,12,487,974,1461,1948,2922,5844

Greatest Common Factor

We found the factors and prime factorization of 5840 and 5844. The biggest common factor number is the GCF number.
So the greatest common factor 5840 and 5844 is 4.

Also check out the Least Common Multiple of 5840 and 5844

Properties of GCF 5840 and 5844

(i) The GCF of 5840 and 5844 is associative

GCF of 5840 and 5844 = GCF of 5844 and 5840

Related Greatest Common Factor of 5840

Related Greatest Common Factor of 5844

Frequently Asked Questions on GCF of 5840 and 5844

1. What is the GCF of 5840 and 5844?

Answer: GCF of 5840 and 5844 is 4.

2. 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.

3. What are the Factors of 5844?

Answer: Factors of 5844 are 1, 2, 3, 4, 6, 12, 487, 974, 1461, 1948, 2922, 5844. There are 12 integers that are factors of 5844. The greatest factor of 5844 is 5844.

4. How to Find the GCF of 5840 and 5844?

Answer:

Greatest Common Factor of 5840 and 5844 = 4

Step 1: Find the prime factorization of 5840

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

Step 2: Find the prime factorization of 5844

5844 = 2 x 2 x 3 x 487

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 5840 and 5844 is 4