Greatest Common Factor of 5936 and 5943

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 5936, 5943 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5936 and 5943 is 7.

GCF(5936,5943) = 7

GCF of 5936 and 5943

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

GCF of:
and

Greatest Common Factor of 5936 and 5943

GCF of 5936 and 5943 is 7

Prime Factorization of 5936


2 5936
2 2968
2 1484
2 742
7 371
53 53
1

Prime factors of 5936 are 2,7,53. Prime factorization of 5936 in exponential form is:

5936 = 24×71×531

Prime Factorization of 5943


3 5943
7 1981
283 283
1

Prime factors of 5943 are 3,7,283. Prime factorization of 5943 in exponential form is:

5943 = 31×71×2831

∴ So by taking common prime factors GCF of 5936 and 5943 is 7

Greatest Common Factor of 5936 and 5943 by matching factors method

Factors of 5936

List of positive integer factors of 5936 that divides 5936 without a remainder.

1,2,4,7,8,14,16,28,53,56,106,112,212,371,424,742,848,1484,2968,5936

Factors of 5943

List of positive integer factors of 5943 that divides 5943 without a remainder.

1,3,7,21,283,849,1981,5943

Greatest Common Factor

We found the factors and prime factorization of 5936 and 5943. The biggest common factor number is the GCF number.
So the greatest common factor 5936 and 5943 is 7.

Also check out the Least Common Multiple of 5936 and 5943

Properties of GCF 5936 and 5943

(i) The GCF of 5936 and 5943 is associative

GCF of 5936 and 5943 = GCF of 5943 and 5936

Related Greatest Common Factor of 5936

Related Greatest Common Factor of 5943

Frequently Asked Questions on GCF of 5936 and 5943

1. What is the GCF of 5936 and 5943?

Answer: GCF of 5936 and 5943 is 7.

2. What are the Factors of 5936?

Answer: Factors of 5936 are 1, 2, 4, 7, 8, 14, 16, 28, 53, 56, 106, 112, 212, 371, 424, 742, 848, 1484, 2968, 5936. There are 20 integers that are factors of 5936. The greatest factor of 5936 is 5936.

3. What are the Factors of 5943?

Answer: Factors of 5943 are 1, 3, 7, 21, 283, 849, 1981, 5943. There are 8 integers that are factors of 5943. The greatest factor of 5943 is 5943.

4. How to Find the GCF of 5936 and 5943?

Answer:

Greatest Common Factor of 5936 and 5943 = 7

Step 1: Find the prime factorization of 5936

5936 = 2 x 2 x 2 x 2 x 7 x 53

Step 2: Find the prime factorization of 5943

5943 = 3 x 7 x 283

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

GCF = 7

Step 4: Therefore, the greatest common factor of 5936 and 5943 is 7