Greatest Common Factor of 5929 and 5936

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 5929, 5936 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5929 and 5936 is 7.

GCF(5929,5936) = 7

GCF of 5929 and 5936

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

GCF of:
and

Greatest Common Factor of 5929 and 5936

GCF of 5929 and 5936 is 7

Prime Factorization of 5929


7 5929
7 847
11 121
11 11
1

Prime factors of 5929 are 7,11. Prime factorization of 5929 in exponential form is:

5929 = 72×112

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

∴ So by taking common prime factors GCF of 5929 and 5936 is 7

Greatest Common Factor of 5929 and 5936 by matching factors method

Factors of 5929

List of positive integer factors of 5929 that divides 5929 without a remainder.

1,7,11,49,77,121,539,847,5929

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

Greatest Common Factor

We found the factors and prime factorization of 5929 and 5936. The biggest common factor number is the GCF number.
So the greatest common factor 5929 and 5936 is 7.

Also check out the Least Common Multiple of 5929 and 5936

Properties of GCF 5929 and 5936

(i) The GCF of 5929 and 5936 is associative

GCF of 5929 and 5936 = GCF of 5936 and 5929

Related Greatest Common Factor of 5929

Related Greatest Common Factor of 5936

Frequently Asked Questions on GCF of 5929 and 5936

1. What is the GCF of 5929 and 5936?

Answer: GCF of 5929 and 5936 is 7.

2. What are the Factors of 5929?

Answer: Factors of 5929 are 1, 7, 11, 49, 77, 121, 539, 847, 5929. There are 9 integers that are factors of 5929. The greatest factor of 5929 is 5929.

3. 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.

4. How to Find the GCF of 5929 and 5936?

Answer:

Greatest Common Factor of 5929 and 5936 = 7

Step 1: Find the prime factorization of 5929

5929 = 7 x 7 x 11 x 11

Step 2: Find the prime factorization of 5936

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

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 5929 and 5936 is 7