Greatest Common Factor of 5934 and 5940

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 5934, 5940 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5934 and 5940 is 6.

GCF(5934,5940) = 6

GCF of 5934 and 5940

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

GCF of:
and

Greatest Common Factor of 5934 and 5940

GCF of 5934 and 5940 is 6

Prime Factorization of 5934


2 5934
3 2967
23 989
43 43
1

Prime factors of 5934 are 2,3,23,43. Prime factorization of 5934 in exponential form is:

5934 = 21×31×231×431

Prime Factorization of 5940


2 5940
2 2970
3 1485
3 495
3 165
5 55
11 11
1

Prime factors of 5940 are 2,3,5,11. Prime factorization of 5940 in exponential form is:

5940 = 22×33×51×111

∴ So by taking common prime factors GCF of 5934 and 5940 is 6

Greatest Common Factor of 5934 and 5940 by matching factors method

Factors of 5934

List of positive integer factors of 5934 that divides 5934 without a remainder.

1,2,3,6,23,43,46,69,86,129,138,258,989,1978,2967,5934

Factors of 5940

List of positive integer factors of 5940 that divides 5940 without a remainder.

1,2,3,4,5,6,9,10,11,12,15,18,20,22,27,30,33,36,44,45,54,55,60,66,90,99,108,110,132,135,165,180,198,220,270,297,330,396,495,540,594,660,990,1188,1485,1980,2970,5940

Greatest Common Factor

We found the factors and prime factorization of 5934 and 5940. The biggest common factor number is the GCF number.
So the greatest common factor 5934 and 5940 is 6.

Also check out the Least Common Multiple of 5934 and 5940

Properties of GCF 5934 and 5940

(i) The GCF of 5934 and 5940 is associative

GCF of 5934 and 5940 = GCF of 5940 and 5934

Related Greatest Common Factor of 5934

Related Greatest Common Factor of 5940

Frequently Asked Questions on GCF of 5934 and 5940

1. What is the GCF of 5934 and 5940?

Answer: GCF of 5934 and 5940 is 6.

2. What are the Factors of 5934?

Answer: Factors of 5934 are 1, 2, 3, 6, 23, 43, 46, 69, 86, 129, 138, 258, 989, 1978, 2967, 5934. There are 16 integers that are factors of 5934. The greatest factor of 5934 is 5934.

3. What are the Factors of 5940?

Answer: Factors of 5940 are 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 27, 30, 33, 36, 44, 45, 54, 55, 60, 66, 90, 99, 108, 110, 132, 135, 165, 180, 198, 220, 270, 297, 330, 396, 495, 540, 594, 660, 990, 1188, 1485, 1980, 2970, 5940. There are 48 integers that are factors of 5940. The greatest factor of 5940 is 5940.

4. How to Find the GCF of 5934 and 5940?

Answer:

Greatest Common Factor of 5934 and 5940 = 6

Step 1: Find the prime factorization of 5934

5934 = 2 x 3 x 23 x 43

Step 2: Find the prime factorization of 5940

5940 = 2 x 2 x 3 x 3 x 3 x 5 x 11

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 5934 and 5940 is 6