Greatest Common Factor of 864 and 867

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 864, 867 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 864 and 867 is 3.

GCF(864,867) = 3

GCF of 864 and 867

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

GCF of:
and

Greatest Common Factor of 864 and 867

GCF of 864 and 867 is 3

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

Prime Factorization of 867


3 867
17 289
17 17
1

Prime factors of 867 are 3,17. Prime factorization of 867 in exponential form is:

867 = 31×172

∴ So by taking common prime factors GCF of 864 and 867 is 3

Greatest Common Factor of 864 and 867 by matching factors method

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

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Greatest Common Factor

We found the factors and prime factorization of 864 and 867. The biggest common factor number is the GCF number.
So the greatest common factor 864 and 867 is 3.

Also check out the Least Common Multiple of 864 and 867

Properties of GCF 864 and 867

(i) The GCF of 864 and 867 is associative

GCF of 864 and 867 = GCF of 867 and 864

Related Greatest Common Factor of 864

Related Greatest Common Factor of 867

Frequently Asked Questions on GCF of 864 and 867

1. What is the GCF of 864 and 867?

Answer: GCF of 864 and 867 is 3.

2. 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.

3. What are the Factors of 867?

Answer: Factors of 867 are 1, 3, 17, 51, 289, 867. There are 6 integers that are factors of 867. The greatest factor of 867 is 867.

4. How to Find the GCF of 864 and 867?

Answer:

Greatest Common Factor of 864 and 867 = 3

Step 1: Find the prime factorization of 864

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

Step 2: Find the prime factorization of 867

867 = 3 x 17 x 17

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

GCF = 3

Step 4: Therefore, the greatest common factor of 864 and 867 is 3