Greatest Common Factor of 860 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 860, 864 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 860 and 864 is 4.

GCF(860,864) = 4

GCF of 860 and 864

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

GCF of:
and

Greatest Common Factor of 860 and 864

GCF of 860 and 864 is 4

Prime Factorization of 860


2 860
2 430
5 215
43 43
1

Prime factors of 860 are 2,5,43. Prime factorization of 860 in exponential form is:

860 = 22×51×431

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 860 and 864 is 4

Greatest Common Factor of 860 and 864 by matching factors method

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

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 860 and 864. The biggest common factor number is the GCF number.
So the greatest common factor 860 and 864 is 4.

Also check out the Least Common Multiple of 860 and 864

Properties of GCF 860 and 864

(i) The GCF of 860 and 864 is associative

GCF of 860 and 864 = GCF of 864 and 860

Related Greatest Common Factor of 860

Related Greatest Common Factor of 864

Frequently Asked Questions on GCF of 860 and 864

1. What is the GCF of 860 and 864?

Answer: GCF of 860 and 864 is 4.

2. What are the Factors of 860?

Answer: Factors of 860 are 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860. There are 12 integers that are factors of 860. The greatest factor of 860 is 860.

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 860 and 864?

Answer:

Greatest Common Factor of 860 and 864 = 4

Step 1: Find the prime factorization of 860

860 = 2 x 2 x 5 x 43

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 = 4

Step 4: Therefore, the greatest common factor of 860 and 864 is 4