Greatest Common Factor of 864 and 868

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, 868 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 864 and 868 is 4.

GCF(864,868) = 4

GCF of 864 and 868

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

GCF of:
and

Greatest Common Factor of 864 and 868

GCF of 864 and 868 is 4

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 868


2 868
2 434
7 217
31 31
1

Prime factors of 868 are 2,7,31. Prime factorization of 868 in exponential form is:

868 = 22×71×311

∴ So by taking common prime factors GCF of 864 and 868 is 4

Greatest Common Factor of 864 and 868 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 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Greatest Common Factor

We found the factors and prime factorization of 864 and 868. The biggest common factor number is the GCF number.
So the greatest common factor 864 and 868 is 4.

Also check out the Least Common Multiple of 864 and 868

Properties of GCF 864 and 868

(i) The GCF of 864 and 868 is associative

GCF of 864 and 868 = GCF of 868 and 864

Related Greatest Common Factor of 864

Related Greatest Common Factor of 868

Frequently Asked Questions on GCF of 864 and 868

1. What is the GCF of 864 and 868?

Answer: GCF of 864 and 868 is 4.

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 868?

Answer: Factors of 868 are 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868. There are 12 integers that are factors of 868. The greatest factor of 868 is 868.

4. How to Find the GCF of 864 and 868?

Answer:

Greatest Common Factor of 864 and 868 = 4

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 868

868 = 2 x 2 x 7 x 31

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 864 and 868 is 4