Greatest Common Factor of 5856 and 5864

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 5856, 5864 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5856 and 5864 is 8.

GCF(5856,5864) = 8

GCF of 5856 and 5864

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

GCF of:
and

Greatest Common Factor of 5856 and 5864

GCF of 5856 and 5864 is 8

Prime Factorization of 5856


2 5856
2 2928
2 1464
2 732
2 366
3 183
61 61
1

Prime factors of 5856 are 2,3,61. Prime factorization of 5856 in exponential form is:

5856 = 25×31×611

Prime Factorization of 5864


2 5864
2 2932
2 1466
733 733
1

Prime factors of 5864 are 2,733. Prime factorization of 5864 in exponential form is:

5864 = 23×7331

∴ So by taking common prime factors GCF of 5856 and 5864 is 8

Greatest Common Factor of 5856 and 5864 by matching factors method

Factors of 5856

List of positive integer factors of 5856 that divides 5856 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,61,96,122,183,244,366,488,732,976,1464,1952,2928,5856

Factors of 5864

List of positive integer factors of 5864 that divides 5864 without a remainder.

1,2,4,8,733,1466,2932,5864

Greatest Common Factor

We found the factors and prime factorization of 5856 and 5864. The biggest common factor number is the GCF number.
So the greatest common factor 5856 and 5864 is 8.

Also check out the Least Common Multiple of 5856 and 5864

Properties of GCF 5856 and 5864

(i) The GCF of 5856 and 5864 is associative

GCF of 5856 and 5864 = GCF of 5864 and 5856

Related Greatest Common Factor of 5856

Related Greatest Common Factor of 5864

Frequently Asked Questions on GCF of 5856 and 5864

1. What is the GCF of 5856 and 5864?

Answer: GCF of 5856 and 5864 is 8.

2. What are the Factors of 5856?

Answer: Factors of 5856 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 61, 96, 122, 183, 244, 366, 488, 732, 976, 1464, 1952, 2928, 5856. There are 24 integers that are factors of 5856. The greatest factor of 5856 is 5856.

3. What are the Factors of 5864?

Answer: Factors of 5864 are 1, 2, 4, 8, 733, 1466, 2932, 5864. There are 8 integers that are factors of 5864. The greatest factor of 5864 is 5864.

4. How to Find the GCF of 5856 and 5864?

Answer:

Greatest Common Factor of 5856 and 5864 = 8

Step 1: Find the prime factorization of 5856

5856 = 2 x 2 x 2 x 2 x 2 x 3 x 61

Step 2: Find the prime factorization of 5864

5864 = 2 x 2 x 2 x 733

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 5856 and 5864 is 8