Greatest Common Factor of 854 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 854, 862 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 854 and 862 is 2.

GCF(854,862) = 2

GCF of 854 and 862

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

GCF of:
and

Greatest Common Factor of 854 and 862

GCF of 854 and 862 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 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 854 and 862 is 2

Greatest Common Factor of 854 and 862 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 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 854 and 862. The biggest common factor number is the GCF number.
So the greatest common factor 854 and 862 is 2.

Also check out the Least Common Multiple of 854 and 862

Properties of GCF 854 and 862

(i) The GCF of 854 and 862 is associative

GCF of 854 and 862 = GCF of 862 and 854

Related Greatest Common Factor of 854

Related Greatest Common Factor of 862

Frequently Asked Questions on GCF of 854 and 862

1. What is the GCF of 854 and 862?

Answer: GCF of 854 and 862 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 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 854 and 862?

Answer:

Greatest Common Factor of 854 and 862 = 2

Step 1: Find the prime factorization of 854

854 = 2 x 7 x 61

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 854 and 862 is 2