Greatest Common Factor of 5940 and 5945

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 5940, 5945 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5940 and 5945 is 5.

GCF(5940,5945) = 5

GCF of 5940 and 5945

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

GCF of:
and

Greatest Common Factor of 5940 and 5945

GCF of 5940 and 5945 is 5

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

Prime Factorization of 5945


5 5945
29 1189
41 41
1

Prime factors of 5945 are 5,29,41. Prime factorization of 5945 in exponential form is:

5945 = 51×291×411

∴ So by taking common prime factors GCF of 5940 and 5945 is 5

Greatest Common Factor of 5940 and 5945 by matching factors method

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

Factors of 5945

List of positive integer factors of 5945 that divides 5945 without a remainder.

1,5,29,41,145,205,1189,5945

Greatest Common Factor

We found the factors and prime factorization of 5940 and 5945. The biggest common factor number is the GCF number.
So the greatest common factor 5940 and 5945 is 5.

Also check out the Least Common Multiple of 5940 and 5945

Properties of GCF 5940 and 5945

(i) The GCF of 5940 and 5945 is associative

GCF of 5940 and 5945 = GCF of 5945 and 5940

Related Greatest Common Factor of 5940

Related Greatest Common Factor of 5945

Frequently Asked Questions on GCF of 5940 and 5945

1. What is the GCF of 5940 and 5945?

Answer: GCF of 5940 and 5945 is 5.

2. 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.

3. What are the Factors of 5945?

Answer: Factors of 5945 are 1, 5, 29, 41, 145, 205, 1189, 5945. There are 8 integers that are factors of 5945. The greatest factor of 5945 is 5945.

4. How to Find the GCF of 5940 and 5945?

Answer:

Greatest Common Factor of 5940 and 5945 = 5

Step 1: Find the prime factorization of 5940

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

Step 2: Find the prime factorization of 5945

5945 = 5 x 29 x 41

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

GCF = 5

Step 4: Therefore, the greatest common factor of 5940 and 5945 is 5