Greatest Common Factor of 856 and 864

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 856, 864 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 856 and 864 is 8.

GCF(856,864) = 8

GCF of 856 and 864

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

GCF of:
and

Greatest Common Factor of 856 and 864

GCF of 856 and 864 is 8

Prime Factorization of 856


2 856
2 428
2 214
107 107
1

Prime factors of 856 are 2,107. Prime factorization of 856 in exponential form is:

856 = 23×1071

Prime Factorization of 864


2 864
2 432
2 216
2 108
2 54
3 27
3 9
3 3
1

Prime factors of 864 are 2,3. Prime factorization of 864 in exponential form is:

864 = 25×33

∴ So by taking common prime factors GCF of 856 and 864 is 8

Greatest Common Factor of 856 and 864 by matching factors method

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Greatest Common Factor

We found the factors and prime factorization of 856 and 864. The biggest common factor number is the GCF number.
So the greatest common factor 856 and 864 is 8.

Also check out the Least Common Multiple of 856 and 864

Properties of GCF 856 and 864

(i) The GCF of 856 and 864 is associative

GCF of 856 and 864 = GCF of 864 and 856

Related Greatest Common Factor of 856

Related Greatest Common Factor of 864

Frequently Asked Questions on GCF of 856 and 864

1. What is the GCF of 856 and 864?

Answer: GCF of 856 and 864 is 8.

2. What are the Factors of 856?

Answer: Factors of 856 are 1, 2, 4, 8, 107, 214, 428, 856. There are 8 integers that are factors of 856. The greatest factor of 856 is 856.

3. What are the Factors of 864?

Answer: Factors of 864 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864. There are 24 integers that are factors of 864. The greatest factor of 864 is 864.

4. How to Find the GCF of 856 and 864?

Answer:

Greatest Common Factor of 856 and 864 = 8

Step 1: Find the prime factorization of 856

856 = 2 x 2 x 2 x 107

Step 2: Find the prime factorization of 864

864 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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 856 and 864 is 8