Greatest Common Factor of 854 and 856

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 854, 856 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 854 and 856 is 2.

GCF(854,856) = 2

GCF of 854 and 856

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

GCF of:
and

Greatest Common Factor of 854 and 856

GCF of 854 and 856 is 2

Prime Factorization of 854


2 854
7 427
61 61
1

Prime factors of 854 are 2,7,61. Prime factorization of 854 in exponential form is:

854 = 21×71×611

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

∴ So by taking common prime factors GCF of 854 and 856 is 2

Greatest Common Factor of 854 and 856 by matching factors method

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Factors of 856

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

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

Greatest Common Factor

We found the factors and prime factorization of 854 and 856. The biggest common factor number is the GCF number.
So the greatest common factor 854 and 856 is 2.

Also check out the Least Common Multiple of 854 and 856

Properties of GCF 854 and 856

(i) The GCF of 854 and 856 is associative

GCF of 854 and 856 = GCF of 856 and 854

Related Greatest Common Factor of 854

Related Greatest Common Factor of 856

Frequently Asked Questions on GCF of 854 and 856

1. What is the GCF of 854 and 856?

Answer: GCF of 854 and 856 is 2.

2. What are the Factors of 854?

Answer: Factors of 854 are 1, 2, 7, 14, 61, 122, 427, 854. There are 8 integers that are factors of 854. The greatest factor of 854 is 854.

3. 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.

4. How to Find the GCF of 854 and 856?

Answer:

Greatest Common Factor of 854 and 856 = 2

Step 1: Find the prime factorization of 854

854 = 2 x 7 x 61

Step 2: Find the prime factorization of 856

856 = 2 x 2 x 2 x 107

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 854 and 856 is 2