Greatest Common Factor of 857 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 857, 864 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 857 and 864 is 1.

GCF(857,864) = 1

GCF of 857 and 864

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

GCF of:
and

Greatest Common Factor of 857 and 864

GCF of 857 and 864 is 1

Prime Factorization of 857


857 857
1

Prime factors of 857 are 857. Prime factorization of 857 in exponential form is:

857 = 8571

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 857 and 864 is 1

Greatest Common Factor of 857 and 864 by matching factors method

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

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 857 and 864. The biggest common factor number is the GCF number.
So the greatest common factor 857 and 864 is 1.

Also check out the Least Common Multiple of 857 and 864

Properties of GCF 857 and 864

(i) The GCF of 857 and 864 is associative

GCF of 857 and 864 = GCF of 864 and 857

Related Greatest Common Factor of 857

Related Greatest Common Factor of 864

Frequently Asked Questions on GCF of 857 and 864

1. What is the GCF of 857 and 864?

Answer: GCF of 857 and 864 is 1.

2. What are the Factors of 857?

Answer: Factors of 857 are 1, 857. There are 2 integers that are factors of 857. The greatest factor of 857 is 857.

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 857 and 864?

Answer:

Greatest Common Factor of 857 and 864 = 1

Step 1: Find the prime factorization of 857

857 = 857

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 857 and 864 is 1