Greatest Common Factor of 856 and 862

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 856, 862 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 856 and 862 is 2.

GCF(856,862) = 2

GCF of 856 and 862

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

GCF of:
and

Greatest Common Factor of 856 and 862

GCF of 856 and 862 is 2

Prime Factorization of 856


2 856
2 428
2 214
107 107
1

Prime factors of 856 are 2,107. Prime factorization of 856 in exponential form is:

856 = 23×1071

Prime Factorization of 862


2 862
431 431
1

Prime factors of 862 are 2,431. Prime factorization of 862 in exponential form is:

862 = 21×4311

∴ So by taking common prime factors GCF of 856 and 862 is 2

Greatest Common Factor of 856 and 862 by matching factors method

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Greatest Common Factor

We found the factors and prime factorization of 856 and 862. The biggest common factor number is the GCF number.
So the greatest common factor 856 and 862 is 2.

Also check out the Least Common Multiple of 856 and 862

Properties of GCF 856 and 862

(i) The GCF of 856 and 862 is associative

GCF of 856 and 862 = GCF of 862 and 856

Related Greatest Common Factor of 856

Related Greatest Common Factor of 862

Frequently Asked Questions on GCF of 856 and 862

1. What is the GCF of 856 and 862?

Answer: GCF of 856 and 862 is 2.

2. What are the Factors of 856?

Answer: Factors of 856 are 1, 2, 4, 8, 107, 214, 428, 856. There are 8 integers that are factors of 856. The greatest factor of 856 is 856.

3. What are the Factors of 862?

Answer: Factors of 862 are 1, 2, 431, 862. There are 4 integers that are factors of 862. The greatest factor of 862 is 862.

4. How to Find the GCF of 856 and 862?

Answer:

Greatest Common Factor of 856 and 862 = 2

Step 1: Find the prime factorization of 856

856 = 2 x 2 x 2 x 107

Step 2: Find the prime factorization of 862

862 = 2 x 431

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 856 and 862 is 2