Greatest Common Factor of 859 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 859, 864 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 859 and 864 is 1.

GCF(859,864) = 1

GCF of 859 and 864

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

GCF of:
and

Greatest Common Factor of 859 and 864

GCF of 859 and 864 is 1

Prime Factorization of 859


859 859
1

Prime factors of 859 are 859. Prime factorization of 859 in exponential form is:

859 = 8591

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.Prime factorization of 864 in exponential form is:

864 = 25×33

∴ So by taking common prime factors GCF of 859 and 864 is 1

Greatest Common Factor of 859 and 864 by matching factors method

Factors of 859

List of positive integer factors of 859 that divides 859 without a remainder.

1,859

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 859 and 864. The biggest common factor number is the GCF number.
So the greatest common factor 859 and 864 is 1.

Also check out the Least Common Multiple of 859 and 864

Properties of GCF 859 and 864

(i) The GCF of 859 and 864 is associative

GCF of 859 and 864 = GCF of 864 and 859

Related Greatest Common Factor of 859

Related Greatest Common Factor of 864

Frequently Asked Questions on GCF of 859 and 864

1. What is the GCF of 859 and 864?

Answer: GCF of 859 and 864 is 1.

2. What are the Factors of 859?

Answer: Factors of 859 are 1, 859. There are 2 integers that are factors of 859. The greatest factor of 859 is 859.

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 859 and 864?

Answer:

Greatest Common Factor of 859 and 864 = 1

Step 1: Find the prime factorization of 859

859 = 859

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 = = 1

Step 4: Therefore, the greatest common factor of 859 and 864 is 1