Greatest Common Factor of 864 and 871

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, 871 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 864 and 871 is 1.

GCF(864,871) = 1

GCF of 864 and 871

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

GCF of:
and

Greatest Common Factor of 864 and 871

GCF of 864 and 871 is 1

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 871


13 871
67 67
1

Prime factors of 871 are 13,67. Prime factorization of 871 in exponential form is:

871 = 131×671

∴ So by taking common prime factors GCF of 864 and 871 is 1

Greatest Common Factor of 864 and 871 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 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Greatest Common Factor

We found the factors and prime factorization of 864 and 871. The biggest common factor number is the GCF number.
So the greatest common factor 864 and 871 is 1.

Also check out the Least Common Multiple of 864 and 871

Properties of GCF 864 and 871

(i) The GCF of 864 and 871 is associative

GCF of 864 and 871 = GCF of 871 and 864

Related Greatest Common Factor of 864

Related Greatest Common Factor of 871

Frequently Asked Questions on GCF of 864 and 871

1. What is the GCF of 864 and 871?

Answer: GCF of 864 and 871 is 1.

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 871?

Answer: Factors of 871 are 1, 13, 67, 871. There are 4 integers that are factors of 871. The greatest factor of 871 is 871.

4. How to Find the GCF of 864 and 871?

Answer:

Greatest Common Factor of 864 and 871 = 1

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 871

871 = 13 x 67

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 864 and 871 is 1