Greatest Common Factor of 861 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 861, 864 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 861 and 864 is 3.

GCF(861,864) = 3

GCF of 861 and 864

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

GCF of:
and

Greatest Common Factor of 861 and 864

GCF of 861 and 864 is 3

Prime Factorization of 861


3 861
7 287
41 41
1

Prime factors of 861 are 3,7,41. Prime factorization of 861 in exponential form is:

861 = 31×71×411

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 861 and 864 is 3

Greatest Common Factor of 861 and 864 by matching factors method

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

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 861 and 864. The biggest common factor number is the GCF number.
So the greatest common factor 861 and 864 is 3.

Also check out the Least Common Multiple of 861 and 864

Properties of GCF 861 and 864

(i) The GCF of 861 and 864 is associative

GCF of 861 and 864 = GCF of 864 and 861

Related Greatest Common Factor of 861

Related Greatest Common Factor of 864

Frequently Asked Questions on GCF of 861 and 864

1. What is the GCF of 861 and 864?

Answer: GCF of 861 and 864 is 3.

2. What are the Factors of 861?

Answer: Factors of 861 are 1, 3, 7, 21, 41, 123, 287, 861. There are 8 integers that are factors of 861. The greatest factor of 861 is 861.

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 861 and 864?

Answer:

Greatest Common Factor of 861 and 864 = 3

Step 1: Find the prime factorization of 861

861 = 3 x 7 x 41

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 = 3

Step 4: Therefore, the greatest common factor of 861 and 864 is 3